Prove

Question:

$\int\left(2 x^{2}+e^{x}\right) d x$

Solution:

$\int\left(2 x^{2}+e^{x}\right) d x$

$=2 \int x^{2} d x+\int e^{x} d x$

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

$=\frac{2}{3} x^{3}+e^{x}+\mathrm{C}$

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