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Explain solution RD Sharma class 12 chapter 19 Definite Integrals exercise Very short answer type question 32 maths

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Answer: a=2

Hint: you must know the rule of integration

Given: \text { If } \int_{0}^{a} 3 x^{2} d x=8, \text { find } a

Solution:  \int_{0}^{a} 3 x^{2} d x=8

\begin{aligned} &{\left[\frac{3 x^{3}}{3}\right]_{0}^{a}=8} \\\\ &{\left[x^{3}\right]_{0}^{a}=8} \end{aligned}

\begin{aligned} &a^{3}-0=8 \\\\ &a=\sqrt[3]{8} \\\\ &a=2 \end{aligned}

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