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Math Help - integration

  1. #1
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    integration

    ∫ 2sin(2x+y) dx
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  2. #2
    Member sbhatnagar's Avatar
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    Re: integration

    \int 2\sin(2x+y)dx

    substitute u=2x+y

    \int 2\sin(2x+y)dx = \int \sin u du = -\cos u+C

    =-\cos(2x+y)+C
    Thanks from Kvandesterren
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  3. #3
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    Re: integration

    Quote Originally Posted by Kvandesterren View Post
    ∫ 2sin(2x+y) dx
    sbhatnagar's answer is correct if y is considered to be independent of x (so you are really doing partial integration, which is the opposite of partial differentiation). However it's incorrect if y is a function of x...
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