Question

$\underset{0}{\overset{\pi /2}{\int }}\sqrt{\sin \theta }{\cos }^3\theta d\theta$ is equal to

• A. $\frac{8}{23}$
• B. $\frac{8}{21}$
• C. $\frac{7}{23}$
• D. $\frac{7}{21}$

Answer 1

Answer: (B)

Put $\sin \theta =t$
$\underset{0}{\overset{1}{\int }}{t}^{1/2}\left(1-t^2\right)dt=\frac{8}{21}$