Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

The area formed by triangular shaped region bounded by the curves y = sin x, y = cos x and x = 0 is

Options:

$\sqrt{2}-1$

1

$\sqrt{2}$

$1+\sqrt{2}$

Correct Answer:

$\sqrt{2}-1$

Explanation:

Area $=\left|\int\limits_0^{\pi / 4}(\sin x-\cos x) d x\right|=\sqrt{2}-1$

(∵ y = sin x and y = cos x meet when sin x = cos x ⇒ x = $\frac{\pi}{4}$)

Hence (1) is the correct answer.