Riemann Integral - Solved Question in hindi ( Lecture 5)
ฝัง
- เผยแพร่เมื่อ 20 ก.ย. 2024
- Namaste to all Friends,
This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Engineering, BSc, MSc, MCA, MBA... of India.
we have try to providing quality content without any charge.
our Aim is to provide Basic Fundamental concept of maths to all those students who willing to learn it and have no fees to pay coaching Institutes.
our Video Lecture are Useful to Engineering Mathematics, BSc Maths, IITJAM, GATE, CSIR NET and other Entrance Exams etc.
You can ask your maths problems through our facbook page "VEDAM Institute of Mathematics, Bhopal " .
Important Links:
Engineering Maths Videos & Engineering Geology Video:
www.youtube.co...
School Maths video for Class 11th & 12th:
www.youtube.co...
Competitive Maths Videos:
www.youtube.co...
All the best...
Vande Matram
Sir ki wajhe se hi aj me bsc1 pass kar gaya . Mere pass paise nahi the kisi teacher se padhai karne ke liye . So again thank you very much.
Good👍👍👍
Aur koi teacher aaise padha bhi nhi payega
👍
Aage bado or desh ke lia kuch karo tum bhi kabhi garibo ki madat karna..
Are sixth elements wale bhai ek bat smjh nhi paya jab tumne college me admission liya to college me fee kis bat ka bhra college k professor to pdhate honge
Sir aap bhot great hai .itne imp lecture aap bina kisi cost k provide krwa rahe h🙏🙏🙏 love u sir💓💓💓
It's hard to find a teacher for graduation and post graduaion math on you tube teaching with efficiency like you thank you sir
Please make the all vedios of rimann integral,...
Sir, your teaching is very wonderful.....very simple explanation of concepts and the example are so much useful in understanding the concepts...and one of them is my assignment question .... Thank you very much 😀 for the lecture 😃.
Sir you are first teacher jisne mere dil s maths ka dr dur kiya or muje maths interesting lg rha h...you are great sir !!
Glad to hear that 😊
Iam from kerela......and I don't even know a single word in hindii.....bt after watching your vdos ..I learned not only maths but also hindi😂.....മലയാളികൾ ഉണ്ടോ ഇവിടെ ??😎
Thanks
Me too malayali
Great sir , great. Thank you very much
You are the best teacher for mathematics in my life time.
Application link: play.google.com/store/apps/details?id=com.jaipal.vishwakarma
Webportal: jaipalvishwakarma.in/
Thank you beta plz download our app
Sir, Bhot Sare doubt hai..
1. 19:40 and 28:55 ∆xi = 1/n. Hai or
41:35 pe ∆xi = 1 kyu hai ??
2. 48:51 pe lim ||p|| infinity bala Formula kyu use nhi kiya...
Like and reply kardo taki jaldi reply mele..
Mujhe bhi yhi doubt arha h.... Tumko smjh aaya Kya???
@@anonymous-eh5cc 2020 mai dekha ye Video, Accha se yaad nhi hai.
But I Think,
Question 2 : mai ∆xi = 1/n is liye hua kyu ki ∆xi ko [ 0,1 ] interval mai n part mai divide kiya hai...
OR
Question 4: mai ∆xi koi divide nhi kiya hai..
Sir plzzzz.... Ishe complete krwa dijiye... Exam ane wala h.. Thnq 😍😍😍😍😍🙇🙇🙇🙇🙇🙇🙇🙇🙇🙇🙇
Sir you are very genius teacher .
You made toughest things more easier.
Thanks alot.
Please upload your next lectures 7 and 8 about properties of Rieman integral as soon as possible.
Please complete our Riemann integral topic.
Thanks again.
Sir you are best........AP buhtt acha Explain krty h .......👌👌👌👌........or ak dfa sun ney hi smj a jata sab....... Thank you so much
Thank you dear student for your valuable Feedback.
We request you to Make full use of this lockdown and learn with our associate activity channels.
For more information You can visit and subscribe link bellow -
# 01 MotorlabEv's {DIY Electric Vehicle Conversion Based Tutorials Videos}
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 02 Technical Ashok {UPS & Inverter Based Tutorials}
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#03 Gr8Macrame Art {Girls Oriented Home Decorative Work Tutorials}
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
# 04 Craft4model {Automobile, Review, Unboxing, & How to Do Based Videos}
th-cam.com/users/Craft4Model
stay home stay safe, see you in the next video
Jai Hind, Vande Mataram
The way you teach , is really outstanding sir🙏
I would like to request you to make videos on more real analysis topics such as convergence,series,continuity and differentiability and so .I would be very thankful to you if you accept my request.
Dear Student we have noticed your Suggestion, Question, Doubt, we will get back to you soon, till then Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
thnkx sir for providing such a good lecture on youtube for free..please keep making more videos on bsc math...
Thank you for your comments.
Agre Aap ko कोई भी doubt या Problem हो तो शुरआत में आप callme4 app की ID "gr8bhagwan@cm4" पर फ़ोन कर सकते है.
और ek request आप हमारे New Channel "Motor Lab Ev's" को इस लिंक th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.html?pbjreload=10 द्वारा visit and Subscribe करे ..
..
मिलते हे अगली Video
Jai Hind; Vandey Matrem
Sir you are great you help every student for a long time thanks sir
Thanks sir for uploading videos. Your all videos easy To understand .again 🙏🙏 I am your student and you are my great mathematics teacher.
Thank you sir because this video is very helpful for me.
even my profs at iit b cant teach this good
.thanks sir
You are amazing sir ..
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#04 Gr8Macrame Art
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
Keep learning, see you next video
Jai Hind, Vande Mataram?
JazakAllah Sir g
No words to appreciate
Excellent 👍
Very nice Sir humne abhi exam diya part 3rd ka jisme ye reimann integral aaya tha bana diye. ..
Solve some examples of trigonometric function by rieman integral
Sir aap bhut achha pdhate hai...aishe hi aap vedio upload krte rhe... science walo k liye....aapki vjh se ab maths aasan lagne lga.....thank you so much sir...🙏
Outstanding 🔥🔥
Mind blowing 🔥🔥
Very good teacher ❤️❤️❤️❤️❤️❤️❤️
Thanks for sharing your knowledge sir.......
Please keep it up ....
Very Very nice explanation sir.. 🙏🙏 Thanks for this video... Video is very helpful for me... 👍👍🙏🙏🙏🙏🙏
Thank you dear student for your valuable Feedback.
We request you to Make full use of this lockdown and learn with our associate activity channels.
For more information You can visit and subscribe link bellow -
# 01 MotorlabEv's {DIY Electric Vehicle Conversion Based Tutorials Videos}
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 02 Technical Ashok {UPS & Inverter Based Tutorials}
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#03 Gr8Macrame Art {Girls Oriented Home Decorative Work Tutorials}
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
# 04 Craft4model {Automobile, Review, Unboxing, & How to Do Based Videos}
th-cam.com/users/Craft4Model
stay home stay safe, see you in the next video
Jai Hind, Vande Mataram
sir you explained very well😘😍😍😊😊😊
Thankyou so much sir you made my day 😀
Sir please upload the remaining lecturers
Thank you sir 🙏
Thanks sir ,🙏🙏🙏🙏🙏
India ko aap jaise teachers ki bhut avasyakta hai.
Many many thanks to u sir explaning this topic in so nice way.
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
Thank u very much sir.... U are fabulous... Your technique are so best and clear... Pleas provide pdf form
Thankyou sirrrr
It is too difficult but you solve it and we r understand 🙏🙏 🙏🙏 🙏🙏 🙏
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
sir g sai baaat h...
kmaaaaal......👑
boht acha smjhaaty ho ap......👑
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
Sir
Integrability of continuous and monotonic functions in riemann integral explain
Salute to u sir...... Great lecture.....
Hello sir please upload first mean value theorem and second mean value theorem of riemann integral as soon as possible, I will be thankful to you
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
muje to ye kbi kisi b teacher ne nhi smjhaya hindi m thnku sir
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#04 Gr8Macrame Art
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
Keep learning, see you next video
Jai Hind, Vande Mataram?
Sir, I am very thankfull to you
Thanks sir...
always appreciable.. love you sir for your great lecture
Thank you for your comments.
Agre Aap ko कोई भी doubt या Problem हो तो Free Advice k lea शुरआत में आप callme4 app की ID "gr8bhagwan@cm4" पर फ़ोन कर सकते है.
और आप हमारे New Channel "Motor Lab Ev's" को इस लिंक th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.html?pbjreload=10 द्वारा visit and Subscribe कर सकते है हम जल्दी ही आपके comment को जवाब करेंगे..
..
मिलते हे अगली Video
JaiHind, VandyMatrem
Thnkuu so much Sir.... Such a great explanation 🙏🙏🙏🙏
Thank you dear student for your valuable Feedback.
We request you to Make full use of this lockdown and learn with our associate activity channels.
For more information You can visit and subscribe link bellow -
# 01 MotorlabEv's {DIY Electric Vehicle Conversion Based Tutorials Videos}
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 02 Technical Ashok {UPS & Inverter Based Tutorials}
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#03 Gr8Macrame Art {Girls Oriented Home Decorative Work Tutorials}
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
# 04 Craft4model {Automobile, Review, Unboxing, & How to Do Based Videos}
th-cam.com/users/Craft4Model
stay home stay safe, see you in the next video
Jai Hind, Vande Mataram
सर यही सवाल हमरे कॉलेज में मैथ्स के 2nd पेपर में नंबर का आया है ।। जो में बिल्कुल सही करके आया।। Thanks sir...
Highly impressed by your work. And concepts are also clear.
thank yiu sir
These videos help me a lot. Thanks sir 🙏🏻 🙏🏻
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
difficult topic but very easily taught thank you so much sir.
Great teaching by Great Teacher.
Sir at #42:15 you took ∆xi=1-0=1 but before that you have written in same que that ∆xi=(b-a)/n ~ it should be 1/n rather 1 only ...
If I am correct do reply....
Yes bro ,u r lit. Bit confused,42:15 p ∆xi summation k sath hi ..
Jisko solve krenge ap to sabhi terms cancel ho jaenge ( Xn_Xo ) ko chhodkr ,jiski value 1-0 yani 1 hogi
Dear Student sorry for late response, we have noticed your Suggestion, Question, Doubt, we will get back to you soon, till then Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#04 Gr8Macrame Art
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
Keep learning, see you next video
Jai Hind, Vande Mataram?
Sir,,,sequence of function ki lecture video banaye to achha hoga...
Thanku sir , for really such a great content🙏🙏
Very good for college student.........it will help them a lot
Sir plz.Oblique asymptotes method ke video dal do
Apke concept itne clear hai ki sb easily samjh aa jata hai thank uuu Sir 🙏🙏🙏🙏
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#04 Gr8Macrame Art
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
Keep learning, see you next video
Jai Hind, Vande Mataram?
Outstanding work
You are a great teacher
Please msc k syllabus par bhi video upload kijiye
Dear Student sorry for late response, we have noticed your Suggestion, Question, Doubt, we will get back to you soon, till then Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#04 Gr8Macrame Art
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
Keep learning, see you next video
Jai Hind, Vande Mataram?
Sir Reimann integral ke aur toipc par vedio banaiye as soon as possible plz Sir
Sirr bo akk prob me distance Δxi ki value 1 kesy ho sakti hyy sir mery khayal se bo 1x1/n hona cahiy
A crore Salute sir. From bangladesh
Sir aapki wajah se mera M3 clear ho gya.. thanks alot sir.. best teacher👌🏼
Very helpful. ..thank you so mach sir.❤️❤️❤️❤️❤️❤️❤️❤️
Aap ka bht bht dhanyabaad...sir ....
If f(x)=x on [a,b] then what will be the Riemann integral???
Great video sir thanks 👍🙏
Most welcome
Download the app....
Application link: play.google.com/store/apps/details?id=com.jaipal.vishwakarma
Webportal: jaipalvishwakarma.in/
cool...sir ji...thank you
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
बहुत अच्छा explain किया sir आपने 👍🙏🏻
Sir plz
Upload vedio of probability
Thank you sir ☺️
Thank you sir you are great personality
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#04 Gr8Macrame Art
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
Keep learning, see you next video
Jai Hind, Vande Mataram?
sir ..when we are taking upper riemann sum at 41:53 why we are not considering delta x to be 1/n?as we did in the previous sums
Yes you are right brother.....we have to consider it .....
there U(P,f) will be equal to n times summation of [1/n] which means U(P,f) = n/n = 1.
editing tq ni hui sir sides pe aur neche colors ajaty ha dik ni rha tq se
Thank u sir aapki wajah s mane real analysis puri kar li h
Thank you dear student for your valuable Feedback.
We request you to Make full use of this lockdown and learn with our associate activity channels.
For more information You can visit and subscribe link bellow -
# 01 MotorlabEv's {DIY Electric Vehicle Conversion Based Tutorials Videos}
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 02 Technical Ashok {UPS & Inverter Based Tutorials}
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
#03 Gr8Macrame Art {Girls Oriented Home Decorative Work Tutorials}
th-cam.com/channels/OrTsWPUXgtvQTat5Gih5lw.htmlvideos
# 04 Craft4model {Automobile, Review, Unboxing, & How to Do Based Videos}
th-cam.com/users/Craft4Model
stay home stay safe, see you in the next video
Jai Hind, Vande Mataram?
Sir 1/x on [0,1] is Riemann integral or not
Thanku sir ji
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
God of bsc mathematics
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
Sir thank you for sharing this useful video..... Could you please share the decision tree, random forest nd logistic regression topic with example in detail as these topics are very useful for analytics world....nd usually asked in interview
Bahut achha padate hai sir aap
Mai is chapter k sab lectures ley or note be key hain.bcz ur way of conveying is vry easy .or abi properties ka lecture nae milrha
Sir jo partitions bna ry ap for every n length of intervals are same.how we will do this for those partitions when length of intervals are not same
Sir or video daliye riemann integral ka plz
U r right
Sir plz write clearly
Sir i wish to see more videos on riemann integral
Thank sir
Mai Aapke aur keval Aapke pdhane se apna bsc final year Ka back paper clear kr ska
Thanks sir once again ❤️😘
thank you sir
Thanks sir aap bahut ascha padhate hai
Thanku very much sir
Thank you for your support and feedback 🙏👍
👉👉Paid Courses for GATE, CSIR-NET, IITJAM, UPSC Main & University Exam Mathematics and Competitive Exam are available on Application/Website.. 💐💐
Our Application link: play.google.com/store/apps/details?id=com.jaipal.vishwakarma
Webportal: jaipalvishwakarma.in/
Mai bahot confused ho thi Thank you Sir now it is clear 😊
Most welcome
Thank you for your support and feedback 🙏👍
👉👉Paid Courses for GATE, CSIR-NET, IITJAM, UPSC Main & University Exam Mathematics and Competitive Exam are available on Application/Website.. 💐💐
Our Application link: play.google.com/store/apps/details?id=com.jaipal.vishwakarma
Webportal: jaipalvishwakarma.in/
49:01 ...harsh beniwal lite (isko cut kar do) :)
And sir delta xi ki value to ith interval se nikal te h but apne (o,1) interval se kyu nikal h...🤔🤔🤔ques.no.4 mai
............
Sir application of double integral (centre of mass gravity ) krya dijye plz sir
Yes .....☺️🙂
I am also in need of this .....
Thanks sir
Sir sequence pr bhi video upload karo
Super lacture sir 👍👍
Sir kindly fundamental theorem and integration by parts wala b portion share kr dain
very well done sir j.. 🤗
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
Sir plz properties of riemann integas,fundamental of calculus 1st &2nd ki upload kr dy
Sir please make the video of Special function of Mathematics.
Nice teaching
Thank you for your Feedback-comment.
Make full use of this lockdown time and learn brand new work by visiting and subscribing to our associated channels.
# 01 Craft4model
th-cam.com/users/Craft4Model
# 02 MotorlabEv's
th-cam.com/channels/sCIpxfBWy2Su-X-piUngGA.htmlvideos
# 03 Technical Ashok
th-cam.com/channels/IhaXhujiwografnPf8FQXQ.html
Keep learning, see you next video
Jai Hind, Vande Mataram?
Sir plz make videos on improper Integral as well
Best explanation
Sir first question me inf to x(i-1) aur sup xi h to k q liya humne