Hey guys, I'm new to integration and these are giving me a really rough time, even just a push in the right direction would be great. Thanks for taking a look! So far, I've only learned the basic integration techniques and u-substitution.

1) $\displaystyle \int\frac{x+1}{\sqrt{x^2+2x-3}}dx$

2) $\displaystyle \int\frac{dx}{x^{\frac{3}{4}}(x^\frac{1}{4}+2)^2}$

I solved 2) and got $\displaystyle 16\sqrt[4]{x}-\frac{4}{\sqrt[4]{x}}$. Not sure if this is right, I did expanded completely and brought everything up top before integrating.

3) $\displaystyle \int3x\sin(4-x^2)dx$

4) $\displaystyle \int\frac{dx}{\cos^2x\sqrt{1+\tan{x}}}$

Thanks for any pointers!