Solve Difficult Integrals Step-by-Step

[poopforfood]

Please Help Me!

Hello all I need some serious help with these problems...If you could help me solve them step by step that would be fantastic

Evaluate the following integrals


Integral from 1 to Infinity of 1 / xln(thirdrootx) dx

Integral of sqrt(1-x)/sqrt(x) dx

 

[AlphaNumeric2]

$$\frac{1}{x \ln(x^{\frac{1}{3}})} = \frac{3}{x \ln(x)}$$

This is an exact derivative of a function. Can you work out what it is?

 

[Gib Z]

As for the second one, try letting $x=\sinh^2 t$ =] Its quite nice after that