Question

$\frac{1}{2}\frac{1}{(10^{x} + x^{10})^{2}} + c$

• A. $\int_{}^{}{\frac{1}{(e^{x} + e^{- x})^{2}}\mspace{6mu} dx =}$
• B. $- \frac{1}{2(e^{2x} + 1)} + c$
• C. $\frac{1}{2(e^{2x} + 1)} + c$
• D. None of these

Answer 1

Answer: (A)

$\int_{}^{}{\frac{1}{(e^{x} + e^{- x})^{2}}\mspace{6mu} dx =}$

Answer 2

$\tan x + c$

Put $\int_{}^{}\frac{\sin^{3}x + \cos^{3}x}{\sin^{2}x\cos^{2}x}\mspace{6mu} dx =$, then it reduces to

$\tan x + \cot x + c$

$\tan x - \cot x + c$.