Question

Calculate X3 dx .

A.×2 + c
B. 3X2 + c
c . x4 + c
D . x4/4+c

Answer 1

`\LARGE \int x^3 dx = (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 = (x^(n+1))/(n+1) + C`