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Grade 12Integral Calculus

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

Lovey

11 Years agoGrade 12

1 Answer

Jitender Singh

Approved Tutor Answer11 Years ago

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

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