Mathematics

# Obtain $\displaystyle \int_{1}^{e}(x^2 - x)dx$.

##### SOLUTION
$I=\displaystyle \int_1^e(x^2-x)dx$
$=\displaystyle \left [\dfrac{x^3}{3}-\dfrac{x^2}{2}\right]_1^e$
$=\dfrac{e^3}{3}-\dfrac{e^2}{2}+\dfrac{1}{6}$

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Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 114

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