MHT CET · Maths · Definite Integration
\(\int_0^{2 \pi}(\sin x+|\sin x|) d x=\)
- A 0
- B 8
- C 4
- D 1
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \int_0^{2 \pi}(\sin x+|\sin x|) d x= \\ & =\int_0^\pi(\sin x+\sin x) d x+\int_0^\pi(\sin x-\sin x) d x \\ & =\int_0^\pi 2 \sin x d x+0 \\ & =[-2 \cos x]_0^\pi=4\end{aligned}\)
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