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Integral of (sinx)^4cosxdx

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Uploaded by on Dec 27, 2006

See all our CALCULUS tutorials at www.midnighttutor.com. CALCULUS tutorial of how to solve this indefinite integral using substitution.

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  • likes, 8 dislikes

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  • the guy on the camera knows more than him

  • hold up, did I do this right? LOL

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  • now take the integral of sin^4(x) without cos(x) next to it and post a vid for me

    

  • ala kang kayapan nimal!

  • very much a helpful video,  thank you very much.

  • @bmthnumber1 I'm sorry, at the end of my commentary I should have said: "The derivative of (sin(x))^4 (the term inside the parenthesis only -sinx-) is cos(x). Then, the criteria for using the formula is valid."

  • There's actually a formula wich is easier to use in that case (and similars).

    It's: f(x) * f ' (x) = f(x)^n+1 / n+1

    In words: When you got a function wich is a product, in wich one of its terms happens to be the derivative of the other term, then, the integral solution will be the f(x) to the n+1 power (being n its actual power (4 in this case) ), divided by n+1.

    We re-write the integral as I: sin(x)^4 * cos(x) dx

    The derivative of sin(x) is cos(x). Aply the form: sin^5(x) / 5 + c

    Solved.

  • hahahahahahahahahahahahahahaha­ha

  • Wow, why are people being so negative, we are all human we make mistakes and learn from them, this guy is doing us a favour by providing helpful videos, if you don't like these then just leave the video and don't leave negative feedback, ungrateful people...

  • NERD

  • really great idiot :D

  • he just show the common mistakes like that.. hehehe

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