First slide

Evaluation of definite integrals

Question

$\int_{- 2}^{2} (x - | x |) d x =$

Easy

A

0
B

2
C

4
D

$- 4$

Solution

$\int_{- 2}^{2} (x - | x |) d x = \int_{- 2}^{0} (x - | x |) d x + \int_{0}^{2} (x - | x |) d x$
$= \int_{- 2}^{0} 2 x d x + \int_{0}^{2} 0 d x$
$= {(x^{2})}_{- 2}^{0} + 0 = - 4$

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