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Math Help - antiderivative?

  1. #1
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    antiderivative?

    I know the antiderivative of sin is -cos. But what is the antiderivative of -cos? Is it -sin?

    It's for this problem (not a test question, just homework):

    [IMG]file:///C:/DOCUME%7E1/COMPAQ%7E1/LOCALS%7E1/Temp/moz-screenshot-2.jpg[/IMG]Given and and . Find ?

    I got that the first derivative is (-16)(-cos(4x)) -20
    but for f(x) i am not sure what the antiderivative of -cosx is.

    Thanks!
    [IMG]file:///C:/DOCUME%7E1/COMPAQ%7E1/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/COMPAQ%7E1/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG]
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by tennisgirl View Post
    I know the antiderivative of sin is -cos. But what is the antiderivative of -cos? Is it -sin?

    It's for this problem (not a test question, just homework):

    [IMG]file:///C:/DOCUME%7E1/COMPAQ%7E1/LOCALS%7E1/Temp/moz-screenshot-2.jpg[/IMG]Given and and . Find ?

    I got that the first derivative is (-16)(-cos(4x)) -20
    but for f(x) i am not sure what the antiderivative of -cosx is.

    Thanks!
    [IMG]file:///C:/DOCUME%7E1/COMPAQ%7E1/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/COMPAQ%7E1/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG]
    I am sure you know that \int{cos(x)dx}=sin(x)...well \int{-cos(x)dx}=-\int{cos(x)dx}=-sin(x)+C
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