Mathematics

Evaluate:
$$\int { { x }^{ 2 }.{ e }^{ -2 } } dx$$


SOLUTION
$$\displaystyle\int{{x}^{2}{e}^{-2}dx}$$
$$={e}^{-2}\displaystyle\int{{x}^{2}dx}$$
$$={e}^{-2}\left(\dfrac{{x}^{3}}{3}\right)+c$$
$$=\dfrac{{x}^{3}}{3{e}^{2}}+c$$
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Subjective Medium Published on 17th 09, 2020
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