Question

Solve: $\int \frac{1+\sin x}{\sqrt{x-\cos x}}dx$

Answer 1

Now,

$\int \frac{1+\sin x}{\sqrt{x-\cos x}}dx$

$\int \frac{d(x-\cos x)}{\sqrt{x-\cos x}}dx$

$=2\sqrt{x-\cos x}+c$ [ Where $c$ is integrating constant]