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Thread: Complicated Integral

  1. February 20th 2010, 07:24 AM #1
    Keithfert488
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    Complicated Integral

    \int -\cos({\cos({\tan (x)})})\cdot \sin{\tan(x)}\cdot \sec ^2(x)dx

    I have absolutely no clue how to start.
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  2. February 20th 2010, 07:44 AM #2
    skeeter
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    Quote Originally Posted by Keithfert488 View Post
    \int -\cos({\cos({\tan (x)})})\cdot \sin{\tan(x)}\cdot \sec ^2(x)dx

    I have absolutely no clue how to start.
    u = \cos(\tan{x})

    du = -\sin(\tan{x}) \cdot \sec^2{x} \, dx<br />

    substitute ...
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  3. February 20th 2010, 07:48 AM #3
    Keithfert488
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    Wow that's a lot simpler than it looks.

    So its just

    \sin({\cos({\tan({x})})})?
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  4. February 20th 2010, 08:29 AM #4
    skeeter
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    Quote Originally Posted by Keithfert488 View Post
    Wow that's a lot simpler than it looks.

    So its just

    \sin({\cos({\tan({x})})})?
    check it ...

    \frac{d}{dx} \sin[\cos(\tan{x})] = ?
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