A) 5/2
B) 1/2
C) 3/2
D) 7/2
Correct Answer: A
Solution :
\[I=\int_{-1}^{2}{\,|x|dx}\]\[=\int_{-1}^{0}{-x\,dx}+\int_{0}^{2}{x\,\,dx}\]\[=-\left[ \frac{{{x}^{2}}}{2} \right]_{-1}^{0}+\left[ \frac{{{x}^{2}}}{2} \right]_{0}^{2}\] \[=-\left[ 0-\frac{1}{2} \right]+[2]\]\[=2+\frac{1}{2}=\frac{5}{2}\].You need to login to perform this action.
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