Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area bounded by the curve $y=\sin x$ and x- axis between $x=-\pi$ and $x=\pi$ is.

Options:

4

2

0

$\pi$

Correct Answer:

4

Explanation:

The correct answer is Option (1) → 4

Area of (I = II = III = IV) by symmetry

So area = 4 × Area I

$=4×\int\limits_{0}^{π/2}\sin xdx$

So $4×[-\cos x]_{0}^{π/2}$

= 4 units