1. Compute the antiderivative of the following funcitons:

(a) x^(2/3) + x^(-1/3)

(b) x^2 exp (x^3)

(c) tan (2x)

(d) x^2/(1+x^3)

2. Compute the definite integrals:

(a) integrate x^2 + x over [0, 1]

(b) integrate sin(x/2) over [0, pi]

(c) integrate x/(1+x^2) over [0,1]

(d) integrate x exp(x^2) over [0,1]