Category:Definite Integral from 0 to Half Pi of Even Power of Sine x
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This category contains pages concerning Definite Integral from 0 to Half Pi of Even Power of Sine x:
\(\ds \int_0^{\frac \pi 2} \sin^{2 n} x \rd x\) | \(=\) | \(\ds \dfrac {\paren {2 n}!} {\paren {2^n n!}^2} \dfrac \pi 2\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \dfrac {1 \cdot 3 \cdot 5 \cdots \paren {2 n - 1} } {2 \cdot 4 \cdot 6 \cdots 2 n} \dfrac \pi 2\) |
for $n \in \Z_{>0}$.
Pages in category "Definite Integral from 0 to Half Pi of Even Power of Sine x"
The following 3 pages are in this category, out of 3 total.