_ - 4 ^4 |x + 2| ,dx = - Vidyadip

MCQ

$\int_{ - 4}^4 {|x + 2|\,dx} = $

A
$50$
B
$24$
✓
$20$
D
None of these

✓

Answer

Correct option: C.

$20$

c
(c) $\int_{ - 4}^4 {|x + 2|dx = \int_{ - 4}^{ - 2} { - (x + 2)dx + \int_{ - 2}^4 {\,(x + 2)dx} } } $

$ = \left| {\frac{{ - {x^2}}}{2} - 2x} \right|_{ - 4}^{ - 2} + \,\,\left| {\frac{{{x^2}}}{2} + 2x} \right|_{ - 2}^4 = 20$.

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