Primitive of Reciprocal of Sine of a x plus Cosine of a x/Examples

Examples of Use of Primitive of $\frac 1 {\sin a x + \cos a x}$

Primitive of $\dfrac 1 {\sin x + \cos x}$

$\ds \int \dfrac {\d x} {\sin x + \cos x} = \frac 1 {\sqrt 2} \ln \size {\map \cosec {x + \frac \pi 4} - \map \cot {x + \frac \pi 4} } + C$