Integral Problems

  • #1

Main Question or Discussion Point

[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.
 

Answers and Replies

  • #2
... and i just realized i put this in the wrong forum category. my apologies.
 
  • #3
rock.freak667
Homework Helper
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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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