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# A ∫ 0 3 X 2 D X = 8 , Find the Value of A. - CBSE (Science) Class 12 - Mathematics

ConceptProperties of Definite Integrals

#### Question

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

#### Solution

$\text{We have},$
$\int_0^a 3 x^2 d x = 8$
$\Rightarrow \left[ 3 \frac{x^3}{3} \right]_0^a = 8$
$\Rightarrow a^3 = 8$
$\Rightarrow a = 2$

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