Question

A curve is governed by the equation $y=\cos x$.Then what is the area enclosed by the curve and $x$ axis between $x=0$ and $x=\frac{\pi }{2}$ is shaded region?

Answer 1

Area enclosed = ${\int }_0^{\frac{\pi }{2}}cosxdx$

$=[\sin x{]}_0^{\frac{\pi }{2}}$

$=\sin \frac{\pi }{2}-\sin 0$

$=1$