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Math Help - Can someone check my integral work?

  1. #1
    Junior Member
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    Can someone check my integral work?

    Did I do this right, is so did I get the right answer and if not, could you point out some things I did wrong? Thanks in advance.

    \intx*sin x dx
    u=x and v'= sin x
    u'=1 and v= -cos x
    uv-\int u'v dx so... -x cos x - \int -cos x dx = -x cos x + sin x +C
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Assuming you were doing the integral of xsin(x).

    This is easy enough to check by differentiation:

    (-xcos(x) + sin(x) + C) ' = -cos(x) +xsin(x) +cos(x) = xsin(x)
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