Some integral problems and some others

1) the definite integral from 0-1 of e^sqrtx\sqrtx

2) indefinite integral of x+2/(sqrt(4-x^2)) (4-x^2 is all under the square root sign)

3) i wont use the ^ to denote exponents on this one to avoid confusion, but all numbers are exponents

indefinite integral of cos3x-sin2/cos2x

4) find the slope and the tangent line to the curve y=ln(xe^x) at the point x=3

5) solve for x: 2^3x-1=5

these are the 5 problems i need to do correctly and turn in tommarow to be done with my class, if anyone can post them up real quick step by step i would appreciate it