List of top Mathematics Questions on Methods of Integration asked in TS EAMCET

If \[ \int(e^{2x}+2e^x)\sqrt{e^{2x}-4e^x+5}\,dx = \frac13[f(x)]^{3/2} + 4\left[ \frac{e^x-2}{2}\sqrt{f(x)} + \frac12g(x) \right]+c \] then \(f(0)=\)

Evaluate \[ \int\frac1{2\cot x-3\tan x}\,dx \]