# Which method is used to solve following indefinite integral?

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

I tried using substitution and rationalize but nothing works. And I do not how to solve this one. Please help me.

• is it a definite integral? Where are the limits Apr 16, 2017 at 10:39
• Sorry my mistake. It's indefinite.
– Amar
Apr 16, 2017 at 10:41
• Hint: $\int\dfrac{dx}{\sqrt{\tan x}+\cos x}$ integral-calculator.com/… Apr 17, 2017 at 15:42
• @Amar are you sure it is doable?
– Sid
Apr 20, 2017 at 11:34
• or is this a troll xD?
– Sid
Apr 20, 2017 at 11:36