int(5x3 + (2x)-1 + e2x )dx
=int(5x3)dx + int((2x)-1)dx + int(e2x )dx
int(5x3)dx = (5/4)x4+ c where c is the constant of integration
int(2x-1)dx = (1/2)ln(2x) + d where d is another constant of integration
int(e2x)dx = (1/2)e2x + f where f is another constant of integration
Let C = c+d+f
int((5x3) + (2x-1) + (e2x))dx = (5/4)x4 + (1/2)ln(2x) + (1/2)e2x + C