Question

If `∫_0^a 3x^2 dx = 8` then a = ______.

Options

• 2

• 0

• `8/3`

• 1

Answer 1

If `∫_0^a 3x^2 dx = 8` then a = 2.

Explanation:

`∫_0^a 3x^2 dx = 8`

`∫ 3x^2 dx = x^3`

`[x^3]_0^a ​= a3 − 0 = a3`

a³ = 8

a = 2