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Integral Problems

  1. Apr 28, 2008 #1
    [tex]\int[/tex] xsec^2xdx

    u=x du=dx dv=sec^2xdx v=tanx

    uv- [tex]\int[/tex]vdu
    xtanx-[tex]\int[/tex]tanxdx
    xtanx-lnlcosxl+C

    just wanted to make sure everything looked alright because im not feeling totally confident about my last step.
     
  2. jcsd
  3. Apr 28, 2008 #2
    ... and i just realized i put this in the wrong forum category. my apologies.
     
  4. Apr 28, 2008 #3

    rock.freak667

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    Homework Helper

    Yes it is correct but if you wanted to you could write -ln|cosx| as ln|secx| but it is still correct. You could always check it back by differentiating it and see if you get back the integrand.
     
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