Q93 / 225 · JEE Main 2002 · Mathematics

$\int_0^{10 \pi}|\sin x| d x$ is

  • A
    20
  • B
    8
  • C
    10
  • Correct answer
    D
    18

Solution

$\int_0^{10 \pi}|\sin x| d x=10\left[\int_0^{\pi / 2} \sin x d x+\int_{\pi / 2}^\pi \sin x d x\right]$ $=10 \times[\cos x]_0^{\pi / 2}+[\cos x]_{\pi / 2}^\pi ; \quad 10[1+1]=10 \times 2=20$

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

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