Primitive of Reciprocal of p plus q by Sine of a x/Also presented as
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Primitive of $\frac 1 {p + q \sin a x}$: Also presented as
This result can be seen presented in different forms.
$p^2 > q^2$: Also presented as
The result for $p^2 > q^2$ is also seen presented in the form:
- $\ds \int \frac {\d x} {p + q \sin a x} = -\frac 2 {a \sqrt {p^2 - q^2} } \map \arctan {\sqrt {\dfrac {p - q} {p + q} } \map \tan {\dfrac \pi 4 - \dfrac {p x} 2} } + C$
$p^2 < q^2$: Also presented as
The result for $p^2 < q^2$ is also seen presented in the form:
- $\ds \int \frac {\d x} {p + q \sin a x} = -\frac 1 {a \sqrt {q^2 - p^2} } \ln \size {\dfrac {q + p \sin a x + \sqrt {q^2 - p^2} \cos a x} {p + q \sin a x} } + C$