# Integral Problems

1. Apr 28, 2008

### brutalmadness

$$\int$$ xsec^2xdx

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

uv- $$\int$$vdu
xtanx-$$\int$$tanxdx
xtanx-lnlcosxl+C

just wanted to make sure everything looked alright because im not feeling totally confident about my last step.

2. Apr 28, 2008

### brutalmadness

... and i just realized i put this in the wrong forum category. my apologies.

3. Apr 28, 2008

### rock.freak667

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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