Calculus Trig Integration, by parts, improper integral?

[goku900]

will fix

 

[DrPhil]

Hello, some help or pointers on these problems would be greatly appreciated. I have a calculus exam coming up in a week and these are some good review problems.

1) lower bound 2 upper bound 4 ∫ sqrt(9x^2-25)/ x^3 dx

2) lower bound 0 upper bound pi/4 ∫ sec^4xtan^4x dx

3) 0 to pi ∫ e^(cosx)sin(2x) dx

4) 4 to 9∫ ln(x)/sqrt(x) dx

5) Derive the basic Integral

∫csc(x)dx=ln[cot(x)-csc(x)]+C

Help on any of these would be appreciated.

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