Q113 / 170 · Manipal (MET) 2017 · Mathematics

$\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}|\sin x| d x$ is

  • Correct answer
    A
    2
  • B
    0
  • C
    $\frac{\pi}{2}$
  • D
    1

Solution

$\begin{aligned} \int_{-\pi / 2}^{\pi / 2}|\sin x| & d x=2 \int_0^{\pi / 2} \sin x d x \\ & =2[-\cos x]_0^{\pi / 2}=2\end{aligned}$

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

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