Q67 / 150 · MHT CET 2022 (05 Aug Shift 2) · Mathematics

$\int_0^{2 \pi}(\sin x+|\sin x|) d x=$

  • A
    0
  • B
    8
  • Correct answer
    C
    4
  • D
    1

Solution

$\begin{aligned} & \int_0^{2 \pi}(\sin x+|\sin x|) d x= \\ & =\int_0^\pi(\sin x+\sin x) d x+\int_0^\pi(\sin x-\sin x) d x \\ & =\int_0^\pi 2 \sin x d x+0 \\ & =[-2 \cos x]_0^\pi=4\end{aligned}$

Hence, the correct answer is option: 'C'.

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