Category:Definite Integral from 0 to Half Pi of Odd Power of Sine x

$\ds \int_0^{\frac \pi 2} \sin^{2 n + 1} x \rd x$

$=$

$\ds \dfrac {\paren {2^n n!}^2} {\paren {2 n + 1}!}$

$\ds $

$=$

$\ds \dfrac {2 \cdot 4 \cdot 6 \cdots 2 n} {3 \cdot 5 \cdot 7 \cdots \paren {2 n + 1} }$

for $n \in \Z_{>0}$.

Pages in category "Definite Integral from 0 to Half Pi of Odd Power of Sine x"

The following 3 pages are in this category, out of 3 total.