Mathematics

# Evaluate : $\displaystyle \int _0^2 \dfrac x 3 dx$

##### SOLUTION

$\displaystyle \int _0^2 \dfrac x 3 dx$

we know that $\displaystyle\int{{x}^{n}dx}=\dfrac{{x}^{n+1}}{n+1}+c$

$=\dfrac 13 \left. \dfrac {x^2}2\right]_0^2$

$=\dfrac 46-0$

$=\dfrac 23$

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Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

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