Question

Calculate X3 dx .A.×2 + cB. 3X2 + cc . x4 + cD . x4/4+c

Answer 1

$\LARGE \int x^3 dx = \frac{x^4}{4}+C$

So the answer is choice D. You can check this by differentiating the right hand side and you'll get x^3 back again. 

This answer can be found by using the power rule for integrals. That rule is

$\LARGE \int x^n dx = \frac{x^{n+1}}{n+1} + C$