Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

The value of $\int\limits_{-\pi / 2}^{\pi / 2} \sin |x| d x$ is equal to :

Options:

2

-2

1

0

Correct Answer:

2

Explanation:

$I=\int\limits_{-\pi / 2}^0-\sin x d x+\int\limits_0^{\pi / 2} \sin x d x$

$|\cos x|_{-\pi / 2}^0-|\cos x|_0^{\pi / 2}=(1-0)-(0-1)=2$

Hence (1) is the correct answer.