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Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals2 Marks
Question
Find the integral: $\int\left(2 x^{2}+e^{x}\right) d x$
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Answer

$\int\left(2 x^{2}+e^{x}\right) d x$
= $2 \int x^{2} d x+\int e^{x} d x$
= $2\left(\frac{\mathrm{x}^{3}}{3}\right)+\mathrm{e}^{\mathrm{x}}+\mathrm{C}$
= $\frac{2 x^{3}}{3}+e^{x}+C$

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