\[\integral\_{0}^{\pi/2}{\sin^{5}xdx =}] | MATH - SUMMATION OF SERIES BY DEFINITE INTEGRATION, GAMMA FUNCTION, LEIBNITZ'S RULE | SolveeIt

$\int_{0}^{\pi/2}{\sin^{5}xdx =}$

$\frac{8}{15}$

$\frac{4}{15}$

$\frac{8\sqrt{\pi}}{15}$

$\frac{8\pi}{15}$

Answer

$\frac{8}{15}$

Explanation

$\int_{0}^{\pi/2}{\sin^{5}xdx = \frac{\Gamma(3).\Gamma(1/2)}{2.\Gamma(7/2)} = \frac{8}{15}}$ .

Question: \[\int_{0}^{\pi/2}{\sin^{5}xdx =}\]...