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Math Help - Trigonometric integral Answer help

  1. #1
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    Question Trigonometric integral Answer help

    I did my best but im a little sketchy on U-Substitution still
    Integrate: Cos7t*sqrt(1-sin7t) dt

    Using U substitution i came up with the answer 2/21(1-sin7t)^(3/2) + c
    Is this correct.

    Thanks in advance.
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  2. #2
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    Quote Originally Posted by x5pyd3rx View Post
    I did my best but im a little sketchy on U-Substitution still
    Integrate: Cos7t*sqrt(1-sin7t) dt

    Using U substitution i came up with the answer 2/21(1-sin7t)^(3/2) + c
    Is this correct.

    Thanks in advance.
    u=1-Sin(7t)

    \frac{du}{dt}=-Cos(7t)\frac{d}{dt}7t=-7Cos7t

    -\int{\sqrt{u}\ \frac{du}{7}}=-\frac{1}{7}\int{\sqrt{u}}du

    =-\frac{1}{7}\frac{2}{3}(1-Sin7t)^{\frac{3}{2}}+C
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  3. #3
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    Thank you and.. by any chance, seeing that your a senior member could you give me a quick tutorial or point me in the right direction on how to use the output you used?
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  4. #4
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by x5pyd3rx View Post
    Thank you and.. by any chance, seeing that your a senior member could you give me a quick tutorial or point me in the right direction on how to use the output you used?
    http://www.mathhelpforum.com/math-he...-tutorial.html
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