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
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.
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)
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.
have u tried using eulers identity to linearise the sin^4x instead of doing it manually? I find it very helpful in such cases, in this case I think it would be 1/8[cos4x-4cos2x+3]. Well its only just work around. I guess the core remains the same?
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 :)
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
Yes. Just make sure that when you do the Power Reduction Formula for the first time, that you have cos(6x) instead of cos(2x). When reducing the power, the argument of the trig function doubles.
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
@@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! :)
Very nicely presented! 😊 Thanks! The GHOSTS OF DEPARTED QUANTITIES SALUTE YOU! 😊 The "Ghosts of Departed Quantities" refers to the furious debates regarding infinitesimals in Newton's time and later. It was intended critically, but I think it is a splendid metaphor for differential quantities. And it is said: THE DERIVATIVE DISINTEGRATES THE INTEGRAL! 🌻✨🌟🌻🌈🌎🌝 Very nicely presented! 😊 Thanks! The GHOSTS OF DEPARTED QUANTITIES SALUTE YOU! 😊 The "Ghosts of Departed Quantities" refers to the furious debates regarding infinitesimals in Newton's time and later. It was intended critically, but I think it is a splendid metaphor for differential quantities. And it is said: THE DERIVATIVE DISINTEGRATES THE INTEGRAL! 🌻✨🌟🌻🌈🌎🌝
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)
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
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)
had this on test review, and was stuck! So happy you did this one. Best math youtube channel!!!
Thank you, I benefited a lot from you. Greetings of love and respect to you from Iraq 🇮🇶 🧡
I'm from Iraq and your videos are so helpful thank you sooooooooooooooooo much
You’re a great tracher. Thank you for posting such instructive videos.
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).
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.
محد عرف يفهمني غيرك ❤
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.
Still helpful after so long Year🎉
Awesome video you explain every step flawlessly.
Bro your explanation is soo gooddd😭😭😭 every step explained in detailllll 😭😭😭 thanksss bro 😭😭✨✨✨
have u tried using eulers identity to linearise the sin^4x instead of doing it manually? I find it very helpful in such cases, in this case I think it would be 1/8[cos4x-4cos2x+3]. Well its only just work around. I guess the core remains the same?
also I guess I wont be getting an ans cuz its a 9yo comment video
gracias por la explicación, saludos desde Perú
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 :)
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!!!
you explain very fucking well and I love your accent, thank you
Dawich Dawichis thank you f*cking much too!
bro ur the best maths teacher. keep making more videos
Thank you from Bangladesh LOVE
++++HELPED A LOT ++++++
SAFIN AHMED
Can u explain why we need to use power reduction rule @0:40
Wow sir you're awesome..
We can also get reduction formula for this interal using inegration by parts and pythagorean identity
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
Yayyyy ! I had fun calculating along with you. Thanks for helping !
The intergral For Fonction Sin Et Cos Et Tan its Dificule
Was struggling with this one, you saved me, that's why I love Asians😞💞💞💞
Love from india THANK FOR MAKING SUCH TYPE VIDEO THAT HELP US A LOT
This question sounds easy. But its actually not. You teach so good. Now I am master in it. LOL🤔🤔🤗🤗
Really good explanation love it
So helpful, thank you so much for making these videos
The best explanation ever ! Thanks a lot bro 💖
I am from india and i loved ur method to solve this
Hey hero...
Keep going
You are good at teaching
melhores aulas sempre. valeu !!!
That's really helps me
Thanks
nice job yo I am doing mat233 worksheet this really helpful
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
You're a great teacher!
Your explanation is amazing👏
I've just finished the same problem using integration by parts:
-sin^3(x)dcos(x)
Thank you , brother 🔥❤️
does the same principle apply if ur doing sin^4 (3x) dx ?
Yes. Just make sure that when you do the Power Reduction Formula for the first time, that you have cos(6x) instead of cos(2x). When reducing the power, the argument of the trig function doubles.
thanks man, your videos really helpful.
Legend understood whole numerical at 1:23
I am indian + smart
That's why I understood this whole numerical within first 3 steps.
Same 😁
@@lakshitajoshi8847 👏😌
that was great bro.. thankfull for the answer, it's helpfull. :) keep moving forward :)
Thanks!
It is still helpful in 2021
I did it with your DI method easily by taking sin^x in d side and sinx in i side 😘
ở bên nước ngoài có học công thức hạ bậc k nhỉ, anh này giảng dễ hiểu quá
Thank you! You saved me wiht my homework
Great job
Is this the same as hyperbolic function? If i want to integrate sinh⁴(x) and follow this video, the answer is same?
Thank You! This was really helpful!
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)
You’re a legend 🙏🏾
Tau - 0:05
I dont understand how u got the 1/2+1/2cos (4x)...please explain
يو آني موسيسي تاريب using half angle formula.
What class you are taught this in your country. In my case Nepal it's taught in class 11
wew u explain good thanks man
Nicely explained, thank you! However, you forgot some parentheses on the right side of the whiteboard. Doesn't really matter, it's clear anyway.
Do you refer Indian textbooks for questions? Cause I do see some similarities
شكرا لك من العراق
Since i have plans to finish my studies, you review me of integral calculus
yay!
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! 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! :)
You should’ve told them about the rule of (a-b)^2=a^2 -2ab+b^2 😇
its crazy how math hasnt changed in 5 years
I belongs to India very good sir
ماكو طالب سادس من العراق هنانه😂😂😂
Sin este chino no paso el semestre
Thx sir but can u keep it cam in front of it
nice channel for learning math
Very nicely presented! 😊 Thanks! The GHOSTS OF DEPARTED QUANTITIES SALUTE YOU! 😊
The "Ghosts of Departed Quantities" refers to the furious debates regarding infinitesimals in Newton's time and later. It was intended critically, but I think it is a splendid metaphor for differential quantities. And it is said: THE DERIVATIVE DISINTEGRATES THE INTEGRAL! 🌻✨🌟🌻🌈🌎🌝
Very nicely presented! 😊 Thanks! The GHOSTS OF DEPARTED QUANTITIES SALUTE YOU! 😊
The "Ghosts of Departed Quantities" refers to the furious debates regarding infinitesimals in Newton's time and later. It was intended critically, but I think it is a splendid metaphor for differential quantities. And it is said: THE DERIVATIVE DISINTEGRATES THE INTEGRAL! 🌻✨🌟🌻🌈🌎🌝
nice one mate
So the power reduction formula is the same for sin and cos? That doesn't seem right
They are different. For sine is - but for cosine is +
blackpenredpen Missed that! Makes sense when you think of sin^2(x)+cos^2(x)=1
Where does the power reduction formula come from?
+Joaquin Pirotto double angle formula for cos(2x)=cos^2x -sin^2x
I never thought the answer is solved in like this 😂
Thank you so much!
Amazing 😍thaaaaaanx so much ❤
Thank you so much sir
Thanks man. Saved me
Thanks from Algeria
integral of sinx^4 dx= 4 * sinx=[[ 3+ sinx ]=[[ sinx= -3 ] sinx= 3 po versijostada: sinx+cpsx= 1
statometada turesime : {{ 3+cosx =1 ]=[ cosx=-2 ]=[ po versijos Cosx = 2 ] -2 +3 ]=[1=1 ]
tda: nulinis laipsyj- sinx+cox=1 sinx=O cosx=1 X= 2pik , pi= 4 , k=1 X= 8 = 2Pi kopernikinis Apskritis , Apskrityje ACADEMIC Marcelius Martirosianas iko Vienas Mire Marcelio mokytojas Algimantas Aksomaitis,Matematikos Destytoja Gyveno Dabar Amerikoje.
awesome
blackpen redpen.......love the name lololololololol
thank you!!!!
Genius literally
Thank you SO much
Can you pleeease make a video explaining something like integral of sin^4(x)cos^2(x) ?
Thanks from iraq for you
Why does it not become negative ((sinx)^5)/(5cosx) ?
GOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOD JOB FROM MOROCCO
using sin^3x.sinx , my answer comes out 4times of what you have.
love you
Rumor has it that he gets all his intelligence from that pokeball of a mic he is holding
Where did you get that identity? O.o
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)
Gracias brother!!
`int(sin4x)/(sin^(4)x)dx`
What is the solution of this question
Thank you thank you!