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INTEGRALS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINTEGRALS2 Marks
Question
If $\int_{0}^\limits{\text{a}}3\text{x}^2\text{ dx}=8,$ find the value of a.
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Answer

We have,
$\int_{0}^\limits{\text{a}}3\text{x}^2\text{ dx}=8$
$\Rightarrow\Big[3-\frac{\text{x}^3}{3}\Big]^{\text{a}}_0=8$
$\Rightarrow\text{a}^3=8$
$\Rightarrow\text{a}=2$

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