Integrals using reduction formulas (KristaKingMath)
ฝัง
- เผยแพร่เมื่อ 18 พ.ย. 2024
- ► My Integrals course: www.kristaking...
Learn how to use a reduction formula to evaluate an integral.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
FACEBOOK // / kristakingmath
TWITTER // / kristakingmath
INSTAGRAM // / kristakingmath
PINTEREST // / kristakingmath
GOOGLE+ // plus.google.co...
QUORA // www.quora.com/...
I liked how you fast forward through rewriting the problem. It makes it clear, and the video ins't longer than it should be. Keep up the good work!
+Erick Shaffer Thanks for the feedback!
Thank you so much for these videos, they're incredibly useful and just about the only thing that helps me understand Calculus right now. The problems in my textbook aren't so scary after a few of your videos. Thanks again!
Great video, incredibly helpful! Don't ever stop making videos like these, they really do help loads of people :)
I like your teachings on math lessons. You always help me when I am stacked. Thank you again and again.
your voice is out of this world!
god..!! i always feared this "ln" ... but now.. i can kick off this "ln" in any problem. Thank you so much..!
Another awesome video about something I am sure will come in handy at some point.
I'm in AP Calc and your videos are helping me so much! Just wanted to say keep being amazing! :)
+Aathmika Krishna Aww thanks! Good luck with the rest of your AP class, I hope it goes great!
Thank you :)
CalculusExpert.com Thank you :)
All your videos are clear on concise, thanks !
Superb explanation again
ma'am i love you !!!!!
this is the first time i feel math to be so easy!!
this is my first video from now i will be your student!!
Awesome! :)
This all just clicked in my head when I saw this video! Thanks, finishing up my homework without any net now! the proofs all just fall out of understanding this...woot!
+Christopher Willis That's so awesome! Really glad I could help and that it's all making sense now!
Ya, we learned how to do the physical "integration by parts" to come up with this monster for Sin, but applying it didn't make sense. Now I understand, and see how it is valuable :D
thanks so much i had a problem with the topic of the reduction formula, thanks!
That makes me so happy! Thanks for letting me know!
Excellent. I'm a stupid Engineer and always struggled with this. I don't know why, because all the other calculus I found to be OK (ish).
You've really helped me. Thanks.
You're welcome, I'm so glad it helped!!
You used the exact problem that was on my homework. Thank you so much!!! You're like my hero
lol, I'm glad I could help!
Your video has helped me alot. I am still having some problems with solving questions using the reduction formula though. I have a quiz tomorrow and I hope that I can somehow ace it. Thanks again for the video :D
Glad you liked it! :)
Thank you for this Krista you really helped me understand how to do this!!!
I'm glad it could help!
yeah..maybe i can get higher if im not careless....thnkyou again!in my midterm i watch again....i hope i can see many example with phytagorean identities in definite indefinite and u substitution..tnx!
You are so helpful! I know a lot of people in my calc class that watch your videos :)
+Emily Bickel That's awesome, I'm honored to be able to help!
thank you so much
i love your way of explantion
i hope u can post more video about fourier series and laplace transform application in spring system
tq
Very helpful indeed,thanks alot
Good example for reduction is integral of integer powers of trig functions
(instead of expressing as a sum of trig functions of multiple arguments)
or integral which may appear after partial fracton
(instead of funny inverse trig substitution)
The only question I could answer was the reduction formula question :( thanks to you I atleast managed to get some marks. You are a blessing :D stay awesome :D
thank you very much! i'm glad you were able to answer all the others... that's very good!! :D
Another fine video from TH-cam's best math teacher :)
Question: is the reduction formula itself based in Integration By Parts?
+hettygreene yes
I hope you can ace it too! Good luck! :)
man i have always hated integrals! They just scare the crap out of me on an exam...It is mainly these ln and e^x functions that screw me up because I am bad at algebra so I dont know the techniques ppl use to "simplify" so that they can integrate.....eitherway this is one step towards me dealing with ln! thanks a lot!
Oh nice keep it up helped me a lot
THANKS A LOT !
+Shashank Thapa You're welcome, I'm so glad it helped!
great Job K
very nice
... many many thanks :) :) :) its really good
You should definitely be proud of that! Thanks for letting me know. :)
Well understood
Thanks so much
Thank you,you make it easy for me :)
oh goodness awesome explanation thank u very much
You're welcome, I'm so glad you liked it!
These can be super tough, but with practice it will keep getting easier. :)
this was very helpful! thanks very much :)
Glad I could help! :)
Seriously my college should pay you 10x whatever they pay my 90 stick of a teacher ! Thanks !!
+Mohamad Sinno You're welcome, I'm happy to help!
thank you soooo much ; u explained better than my teacher
+Aleyna Comertler You're welcome, I'm so glad it helped!
so much better than the example in my textbook
:)
VERY HELPFUL
Thanks for your tutorial! Keep it going, anyway you got a sweet voice:)
You're welcome! :D
Thank you ma'am!
+Alex Barron You're welcome!
Aw thanks! :D
Hi again! Thanks. :)
another awesome video!
Thanks, Noah!
Great stuff!
Thanks!
Wow amazing... Can you please tell me the software you're using it's so clean
The blackboard software I used is Sketchbook Pro. I really like it and would definitely recommend it. :)
I'm curious do I have to use a reduction formula to slave an integral in this format or can I use a trig integral for something like the definite integral of sin^(3)?
awwww you're welcome!!!! :D
Demonstrate that integrate (cos^m(x) cos^n(x)) with upper limit is (pi/2), lower limit is 0 dx; = ((m/(m+n)) integrate (cos^m-1(x) cos(n-1)x with upper limit is (pi/2), lower limit is 0 dx. Hence, deduce that integrate (cos^m(x) cos(nx) dx = (pi/(2^(n+1)) with upper limit is (pi/2), lower limit is 0? how to demonstrate it?
If by some miracle I pass integration I'll have you to thank
Looovee :) thhank yoh
i love your voice
Why could you not have stopped when you reduced to the power of 1 and just take the integral of lnx Since the integral of lnx is xlnx-x ?
Also, do you have a video showing the complete list or table for the other power reduction formulas for sin cos tan sec cot csc?
Thank you
I just used integration by parts for the integral of ln(x), because most people don't have the formula for that integral memorized. :) Unfortunately I don't have a full table of reduction formulas, sorry about that. You might be able to find one online, though! :)
is it applicable to any power?
how do i get the reduction formula tho?
AWesome. Thank you
Glad you liked it! :)
I have a calc 2 test wed i was so scared, thanks to ur vids i have confidence again lol
hey, i got 93% only in my exam....but im the highest thankyou!
i hope you pass!! :D
thanks love
i think not "anything" that is raised to 0 is 1. if i was to raise 0 to 0, it will not equal to 1. my question is, what if our lnx equals zero. does the integral become indeterminate?
when you get to -2 integral of ln x dx, why you didn’t solve it by parts? I it would be easier.
Can the reduction formula be applied to any function raised to a given power or only to the natural log function, as shown in this vidro?
+uiticus This particular reduction formula only works with the natural log function in that form. There are different reduction formulas for other kinds of functions.
Thanks :)
+CalculusExpert.com I WANT THE JUICE
I want to generalize the shorthand to solve all the problems I want a general law
How do we know that is the reduction formula? :/
Shouldn't i had to figure out the formula by myself?
Normally you don't use reduction formulas at all, but sometimes you might have the luxury of a table of reduction formulas, in which case, you can use them! :)
I love you
can u please explain integration 0 to pi/2 (sin^4x) dx= 3pi/16.?? ..shouldnt it be 0 ..as ..when we substitute the " n" value as 4 in the default formula of integral 0 to pi/2 sin^n x = ((n-1/n) . (n-3)/(n-3) . (n-5)/(n-4)...3/4 . 1/2 . pi/2....the value of (n-5)/(n-4) becomes 0...so the whole term should be zero.....
dhiraj ojha I suppose you are referring to Walli's Theorem.....!
Your formula seems to be wrong
Integral from 0 to pi/2 sin^n x=(n-1)(n-3).../n(n-2)......
You need to stop the reduction of numbers at 1.
And if the number is even, multiply by pi/2 at the end.
👍
you could even become a singer, just sayinggg
:D
how she has +6 in the third line
When you distribute the -3 outside the brackets across the -2 inside the brackets, you get (-3)(-2)=+6. :)
Krista King Thankyou.
I figured it myself a few minutes after writing the comment. :D
like
I LOVE YOUR VIDEOS!!! but some advice: stay a little more away from the mic its irritating to hear you breath and swallow.....
Thanks for the feedback! It's something I'm aware and want to improve, I just have to find that balance where you can still easily hear me, but not the extras. :)