Question

Integral (x^2+cos(3x+2))dx

Answer 1

Formula :
int x^n = 1/(n+1)  x^(n+1)
int cos(ax + b) = 1/a sin(ax + b)

so,
int x^2 + cos(3x+2) dx
= 1/3  x^3 + 1/3  sin(3x+2) + C
= 1/3  (x^3 + sin(3x+2)) + C