Find the area of the region bounded by the curves and between and .

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

Find the area of the region bounded by the curves

y=\sin x

and

y=\cos x

between

x=0

and

x=\frac{\pi}{2}

. (a)

\sqrt{2}-1

(b)

2\sqrt{2}-1

(c)

2(\sqrt{2}-1)

(d)

\frac{\sqrt{2}}{2}