#### Question

\[\int\limits_0^a 3 x^2 dx = 8,\] find the value of *a*.

#### Solution

\[\text{We have}, \]

\[ \int_0^a 3 x^2 d x = 8\]

\[ \Rightarrow \left[ 3 \frac{x^3}{3} \right]_0^a = 8\]

\[ \Rightarrow a^3 = 8\]

\[ \Rightarrow a = 2\]

Is there an error in this question or solution?

Solution A ∫ 0 3 X 2 D X = 8 , Find the Value of A. Concept: Properties of Definite Integrals.