Integral of sin^4(x)
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- เผยแพร่เมื่อ 20 ก.พ. 2015
- Integral of sin^4(x) , integral of sin^4x
solution playlist page www.blackpenredpen.com/math/Ca...
trig integrals, trigonometric integrals, integral of sin(x), integral of tan(x), integral of sec(x), James Stewart single variable Calculus sect 7.2, integration examples, integral examples, antiderivative examples, u substitution examples, integral practice problems, calculus 2 practice problems, blackpenredpen,
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The best thing about your videos is that you dont skip any steps while explaining. You write every trivial step on the board.
keep up the good work. All the best
S
Not only is he good at math, he also has a thermal detonator.
Thermal detonator is only like Mike 🎤but it's shape is only Round
I can't understand why this comment has 237 likes
Lol😆😆
@@MigueelHoO Are you from which country??
@@no_onecares3266 bc a lot of people like me were wondering what that round tech thing is.
@@Zahra27756 🖕🖕🖕🖕🖕
If only university professors would explain things half this well.
it's pretty common that they are good at experiment and researching but not teaching cause that's not what professors want to concentrate on and they don't take education courses and credits.
Do they this in Universities really? It's taught in High School in India, perhaps it's a easier question for most indian science student
@@foreverknight3448 Good For You
This is highschool subject tho...
@@foreverknight3448 same
had this on test review, and was stuck! So happy you did this one. Best math youtube channel!!!
I need such kind of teacher
RESPECT FROM INDIA🇮🇳
Page 76, Integral 14.350 in Spiegel's Mathematical Handbook. Just as you say. Have you read that sometime in his childhood, Feynman spent most of a summer holiday working out all the integrals in a handbook...without cheating by looking at the solutions first?
Who would ever have thought that a dumb retired old bloke would get such pleasure from watching and learning integral solving. Thank you.... live long and prosper;-)
"Let no corrupt communication proceed out of your mouth, but that which is good to the use of edifying, that it may minister grace unto the hearers." (Blue Letter Bible, KJV, Ephesians 4:29)
You’re a great tracher. Thank you for posting such instructive videos.
We can also get reduction formula from integration by parts and pythagorean identity
Awesome video you explain every step flawlessly.
melhores aulas sempre. valeu !!!
Yayyyy ! I had fun calculating along with you. Thanks for helping !
Bro your explanation is soo gooddd😭😭😭 every step explained in detailllll 😭😭😭 thanksss bro 😭😭✨✨✨
So helpful, thank you so much for making these videos
gracias por la explicación, saludos desde Perú
Thank you, I benefited a lot from you. Greetings of love and respect to you from Iraq 🇮🇶 🧡
The best explanation ever ! Thanks a lot bro 💖
You're a great teacher!
bro ur the best maths teacher. keep making more videos
you explain very fucking well and I love your accent, thank you
Dawich Dawichis thank you f*cking much too!
Really good explanation love it
thanks man, your videos really helpful.
Thank You! This was really helpful!
Your explanation is amazing👏
We can also get reduction formula for this interal using inegration by parts and pythagorean identity
Love from india THANK FOR MAKING SUCH TYPE VIDEO THAT HELP US A LOT
Hey hero...
Keep going
You are good at teaching
Why can't my textbook explain it like this :/ Thanks :)
You're welcome
Well, in india textbooks can also explain it..😂 usually we use old books thus our seniors have already written a hint of that question or sometimes whole solution :)
You’re a legend 🙏🏾
I'm from Iraq and your videos are so helpful thank you sooooooooooooooooo much
Thank you! You saved me wiht my homework
omg thank you :D I couldn't get why theres 3x/8 fraction...just now after three hours it hit me thanks to your explanation... omg I'm so dumb lol thanks
Thank you so much!
Still helpful after so long Year🎉
Thank you , brother 🔥❤️
That's really helps me
Thanks
It is still helpful in 2021
Wow sir you're awesome..
I was trying to integrate this to find the hyper volume of a 5d sphere embedded in spherical space, and I was struggling hard. The surface of a 5D sphere embedded in spherical space can be measured with ((8)(pi^2)((sin(r))^4)/3)
nice job yo I am doing mat233 worksheet this really helpful
محد عرف يفهمني غيرك ❤
I wish university professors explain like that. You explained with great details without skip any process. Thank you !!! :-)
Renan seriously 🙄!!!
Bcz in india 12th std. Student can solve this in very easily
You are University student yet you need explanation ??
Disgusting
@@no_onecares3266 Yeah I should go to India and study math there.
@@renan6827 "Atidhi devo bhavah" Most welcome 🙂
Sister/ brother I teach you definitely
@@renan6827 are you girl/boy??
@@no_onecares3266 I am a man!!!
Thank you thank you!
Thanks man. Saved me
that was great bro.. thankfull for the answer, it's helpfull. :) keep moving forward :)
Thanks!
wew u explain good thanks man
Thank you SO much
Amazing 😍thaaaaaanx so much ❤
I've just finished the same problem using integration by parts:
-sin^3(x)dcos(x)
Great job
THANK YOU!
Gracias brother!!
Thank you so much sir
nice one mate
Thanks so much!!!!
02:28 What happened to the binomial formula? It would be shorter to calculate this way...
But it would be even better to temporarily "hide" the ugly cosines under some 1-letter symbols during simplifying, and back-substitute the cos(2x) later.
nice channel for learning math
Nicely explained, thank you! However, you forgot some parentheses on the right side of the whiteboard. Doesn't really matter, it's clear anyway.
The intergral For Fonction Sin Et Cos Et Tan its Dificule
I am from india and i loved ur method to solve this
I did it with your DI method easily by taking sin^x in d side and sinx in i side 😘
Can we express sin^4(x) as a sum of sin and cos using the complex exponential formulae and then integrate from there?
Thank you from Bangladesh LOVE
++++HELPED A LOT ++++++
SAFIN AHMED
thankyou very much!
Hey, It would be easier if we use reduction formula....
Naveen Madhan I have never learned that lol
@@PKPS01238 you can go and check professor Leonard he has a vid explaining it
@@PKPS01238 reduction is way easy, you'll pick up fast.
Genius literally
thank you ❣️
Thank you ✌
Is this the same as hyperbolic function? If i want to integrate sinh⁴(x) and follow this video, the answer is same?
شكرا لك من العراق
Oh great teacher
omg thank you sooo muchhh
Thank bro 👌
This question sounds easy. But its actually not. You teach so good. Now I am master in it. LOL🤔🤔🤗🤗
Bro you are greattttt
you can use this
1=(sin²(x)+cos²(x
(cos(2x)=sin²(x) - cos²(x
and you can somme two equation for reveled more
Nope cos(2x)=cos^2(x) - sin^2(x).
Can u explain why we need to use power reduction rule @0:40
Do you refer Indian textbooks for questions? Cause I do see some similarities
love you
i love these videos
+sabhr antsachan and the videos is love u
You should’ve told them about the rule of (a-b)^2=a^2 -2ab+b^2 😇
Brasil! um salve!
Thanks from Algeria
Thank u Bro
Can you pleeease make a video explaining something like integral of sin^4(x)cos^2(x) ?
Since i have plans to finish my studies, you review me of integral calculus
yay!
Thank u
thank man
graciassssss
Thanks bro
ở bên nước ngoài có học công thức hạ bậc k nhỉ, anh này giảng dễ hiểu quá
but if you differentiate the answer you get 1/8cos(4x)-1/2cos(2x)+3/8, how is that (sin(x))^4 ?
Thanks
WAIT, at 3:57 when you're multiplying, shouldn't it be cos(2x)/2 rather than cos(4x)/2? I can't understand the reasoning behind this. Help me please!
Jake Goykia Power reduction, its cos(2*2x) 4x is correct
Was struggling with this one, you saved me, that's why I love Asians😞💞💞💞
Thank you I learned a new way! Hahaha. Thanks again.
thanks 😉
thank you! I've been trying this on the online integral calculator but I don't get it. I get it now, thanks to you.
Is that ur real photo in the dp?
@@vasunith9682 google Yoo Jeongyeon.
@@theroadnottaken_ okay
Blackpen redpen is korean?
@@vasunith9682 I'm not her, but you should definitely check her out. To answer your question, she is indeed korean. Go watch Jeongyeon fancams on youtube! :)
Why does it not become negative ((sinx)^5)/(5cosx) ?
where does the 1/2 come from infront of 1-cos(x) and why do you have it there for the integral of sin^4 and not there when you integrate sin^3 and sin^5
Multiplying by 1/2 is like dividing by two so instead of writing the formula (1-cos^2(x))/2 he writes 1/2 · cos^2(x)
What class you are taught this in your country. In my case Nepal it's taught in class 11