evaluate the indef integrals a 4x2 3sqrtx 2xdx b xcosx2 4dxS

Solution

evaluate the indef integrals:

a) (4x^2 -3sqrtx +2/x)dx

4x^3/3 - 3/2 x^(3/2) + 2lnx +C

b) xcos(x^2 +4)dx

x^2+4 = t

2x dx = dt

x dx = dt/2

sin(t) /2 + C

= sin(x^2+4) /2 + C