Select and write the correct answer from the given alternatives in each of the following : If ` int_(0)^(α) 3x^(2) dx = 8`, then the value of `alpha` is :

Options

A. 0
B. `-2`
C. 2
D. `pm 2`

Answer

C

Explanation

Given, `underset(0)overset(alpha)int 3 x^(2) dx = 8`
or ` 3underset(0)overset(alpha)intx^(2) dx = 8`
or ` 3 [x^(3)/3]_(0)^(alpha)*= 8`
or `[x^(3)]_(0)^(alpha) = 8`
or `[alpha^(3)-0]=2^(3)`
or ` alpha =2`