Integral of sin^2x*cos(x) vs integral of sin^2(x)

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Integral of sin^2(x)*cos(x) and the integral of sin^2(x). We will observe which integral is easier and why. Then we will use trig identities to help with integrating the other. This is a calculus 2 integral tutorial.

For more calculus tutorials, check out my new channel @bprpcalculusbasics
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"In the 'u' world?" I've never heard it described that way... but suddenly, substitution makes complete sense! Wow. Mind blow.

Thank you, sir!

amandadube
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Love this guy's enthusiasm and clear explanation!

daddylopz
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Dunno what to be more amazed by, the enthusiasm or the way he changes pens/colours so effortlessly!
Cheers, helped a lot!! ^^

Slifer
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I wish you had continued recording the pokemon challenge that happened after the math lesson

franciskisiara
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Your explanation is very clear, you have encouraged me to keep on trying even when the problem looks hard to solve thanks.

josephmuriuki
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Simplifying further, ½(x - (sin(x)•cos(x))) + C

yrcmurthy
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I love you, clear concise explanation and juxtaposing concepts helps people understand. 200% best math channel on YT. Thank you .

adamsloan
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hii bro, your tricks and your way to understand integration is awesome, whenever I have a doubt I watched your vedio.thakyu so much&love from India.

knowledgecenter
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Thank you very much! It was a great and quick explanation. You have just earned a new subscriber! :3

cruelnat
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I always go back to your videos when i have math exams!
wish i had such a great teacher ..

shathaigbarea
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Wow this works... I'm just a little O Level student and not a Graduate so I just use
∫ uv dx = u ∫v dx - ∫ du/dx ∫ v dx dx

AhnafAbdullah
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You are a lifesaver! Thanks for this dude!!

Beatmastergmz
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You're a legend, honestly, thank you so much for your help and clear and nice explanation. 🙏🙏

waheed
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Thank you so much for the example with comparison

雯静-ev
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Dang I spend so much time trying to find trig integral identities. This video helped me a lot. It is nice to know of the power reduction formula. Is this okay for doing basic integration in Calc II? I do not remember seeing the PRF proof.

SuperStruct
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Pretty innovative channel
Integration....blows my mind Everytime

hiccup.
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I love the way you solve integrals, thank you

MrTopfun
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a very very big thank you tomarow my final math paper and that;s the only thing which i was about ti cry ... now i got it thank you

Jason_Baris
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Thanks a lot for your explanation that help me much.

CARLINHA
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Thank you for this video. At first, I thought you have a timer clock in your hand to be as fast as possible!

seppa