Evaluate the integral using substitution $\int\limits_0^\frac{\large\pi}{2}\sqrt{\sin\phi}\cos^5\phi\;d\phi$

Question

$\begin{array}{1 1}\large\frac{64}{231} \\ \large\frac{32}{231} \\\large\frac{16}{231} \\ \large\frac{96}{231} \end{array} $