Need some help on a couple integrations

You dont need to do them all but one would be nice. I want to see how to do it rather than just get answers. Thanks.

Integral of [(e^x + cos(x)]^2 dx

I tried to expand it and then got confused with integration by parts but I think you use that

Integral of e^2x ln (1+e^x) dx

I always hated ln

Integral of (12-4x-x^2)^.5 dx

I tried to factor it and got it to [-(x+6)(x-2)]^.5

Integral of cos^4 (x) sin^3 (x) dx

Should i change the cos^4 (x) to like (1-sin(x))^2 or something?

Integral of [(4-x^2)^.5]/ x dx