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Math Help - antidervative

  1. #1
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    antidervative

    could someone show me how to take the anti derivative of

    cos^2

    which is also

    1/2 +1/2*cos(2x)


    I know that the answer is: x/2 + [sin(2x)]/4

    but I'm having problems seeing the inbetween steps.

    Thanks
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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by DINOCALC09 View Post
    could someone show me how to take the anti derivative of

    cos^2

    which is also

    1/2 +1/2*cos(2x)


    I know that the answer is: x/2 + [sin(2x)]/4

    but I'm having problems seeing the inbetween steps.

    Thanks
    The integral (w.r.t x) of a constant is just the constant times x. This is how 1/2 integrated over x becomes x/2. The integral of cosine is sine. Instead of being divided by 2, it is over 4 due to the chain rule (Divide by derivative of 2x).
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  3. #3
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    ok. know i understand. I was thinking that you divided by 2x, but I see now that you divide by the derivative of 2x. Thanks
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