Category:Primitive of Power of Sine of a x by Power of Cosine of a x
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This category contains pages concerning Primitive of Power of Sine of a x by Power of Cosine of a x:
Reduction of Power of Sine
- $\ds \int \sin^m a x \cos^n a x \rd x = \frac {-\sin^{m - 1} a x \cos^{n + 1} a x} {a \paren {m + n} } + \frac {m - 1} {m + n} \int \sin^{m - 2} a x \cos^n a x \rd x + C$
for $n \ne -m$.
Reduction of Power of Cosine
- $\ds \int \sin^m a x \cos^n a x \rd x = \frac {\sin^{m + 1} a x \cos^{n - 1} a x} {a \paren {m + n} } + \frac {n - 1} {m + n} \int \sin^m a x \cos^{n - 2} a x \rd x + C$
for $n \ne -m$.
Pages in category "Primitive of Power of Sine of a x by Power of Cosine of a x"
The following 7 pages are in this category, out of 7 total.
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- Primitive of Power of Sine of a x by Power of Cosine of a x
- Primitive of Power of Sine of a x by Power of Cosine of a x/Examples
- Primitive of Power of Sine of a x by Power of Cosine of a x/Examples/cos 3rd x sin 4th x
- Primitive of Power of Sine of a x by Power of Cosine of a x/Examples/cos squared x sin 4th x
- Primitive of Power of Sine of a x by Power of Cosine of a x/Examples/sin squared x cos cubed x
- Primitive of Power of Sine of a x by Power of Cosine of a x/Reduction of Power of Cosine
- Primitive of Power of Sine of a x by Power of Cosine of a x/Reduction of Power of Sine