_ ,0 ^ ,2 ( x + | x|) ,dx = - Vidyadip

MCQ

$\int_{\,0}^{\,2\pi } {(\sin x + |\sin x|)\,dx = } $

A
$0$
✓
$4$
C
$8$
D
$1$

✓

Answer

Correct option: B.

$4$

b
(b) $\int_0^\pi {2\sin x\,dx + \int_\pi ^{2\pi } {0.\,dx} } $

$ = 2\,[ - \cos x]_0^\pi + 0$

$ = - 2\,(\cos \pi - \cos 0)$

$ = - 2\,( - 1 - 1) = 4$.

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