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Math Help - Integration

  1. #1
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    Integration

    Hi, I have two questions:

    A) int_ sin[ax] cos[ax] dx

    B) int_ sec[sqrt(x)] /sqrt(x)

    Thanks
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  2. #2
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    Quote Originally Posted by ClipsClips99 View Post
    Hi, I have two questions:

    A) int_ sin[ax] cos[ax] dx

    B) int_ sec[sqrt(x)] /sqrt(x)

    Thanks
    sin(ax)*cos(ax) = (1/2)*sin(2ax) by double angle identity.

    Then INT (1/2)*sin(2ax) dx = (1/2) INT sin(2ax) dx

    If a!=0 define t=2ax that means that,

    -(1/2)*(1/2a)*cos(2ax)+C
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  3. #3
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    Here is the second one.
    Attached Thumbnails Attached Thumbnails Integration-picture3.gif  
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  4. #4
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    Question A:
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