The value of _ ,0 ^ ,8 ,|x - 5| ,dx is - Vidyadip

MCQ

The value of $\int_{\,0}^{\,8} {\,|x - 5|\,dx} $ is

✓
$17$
B
$12$
C
$9$
D
$18$

✓

Answer

Correct option: A.

$17$

a
(a) $I = \int_0^8 {|x - 5|dx }$

$={ \int_0^5 { - (x - 5)dx + \int_5^8 {(x - 5)\,dx = 17} } } $.

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