Question

The area bounded by the curve $y = \sin x$, $x$-axis and the ordinates $x = 0$ and $x = \pi /2$ is

• A. $\pi$
• B. $\pi/2$
• C. 1
• D. 2

Answer 1

Answer: (C)

1

Answer 2

Area $= \int\limits^{\pi/2}_{0} y\, dx$
$= \int\limits^{\pi/2}_{0} \sin x \,dx$
$= \left[-\cos x\right]^{\pi/2}_{0} = 1$