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Integral Calculus> Plese solve the following integral ∫|x| d...

question mark

Plese solve the following integral
∫|x| dx
Limit is from -1 to 2.

Lovey , 11 Years ago

Grade 12

1 Answers

Jitender Singh

Ans:Hello student, please find answer to your question
$I = \int_{-1}^{2}|x|dx$
$I = \int_{-1}^{0}|x|dx+\int_{0}^{2}|x|dx$
$I = \int_{-1}^{0}-xdx+\int_{0}^{2}xdx$
$I = (\frac{-x^{2}}{2})_{-1}^{0} + (\frac{x^{2}}{2})_{0}^{2}$
$I = \frac{1}{2} + 2$
$I = \frac{5}{2}$

Approved

Last Activity: 11 Years ago

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