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
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

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