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Integrals — MATHS STD 12 Science — Question

Rajasthan 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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