$\int \frac{\sin x+\cos x}{\sin x-\cos x} d x=$

$\int \frac{\sec x}{\sqrt{\log (\sec x+\tan x)}} d x=$

If $\int \frac{x+1}{\sqrt{2x-1}} \, dx = f(x) \sqrt{2x-1} + c$,(where $c$ is a constant of integration),then $f(x)$ is equal to

If $\int \frac{\sqrt[4]{x}}{\sqrt{x}+\sqrt[4]{x}} d x=\frac{2}{3}\left[A \sqrt[4]{x^3}+B \sqrt[4]{x^2}+C \sqrt[4]{x}+D \log (1+\sqrt[4]{x})\right]+K$ then $\frac{2}{3}(A+B+C+D)=$

$\int \frac{(1-\cos x)^{2 / 7}}{(1+\cos x)^{9 / 7}} d x=$

$\int {\frac{{dx}}{{{{\cos }^3}x\sqrt {2\sin 2x} }}} $ is equal to