Question

If$\frac{1}{2}\log(x^{2} + \sin 2x + 2x) + c$, then.

• A. $e^{x} + c$
• B. $e^{- x} + c$
• C. $- e^{- x} + c$arbitrary constant
• D. $\int_{}^{}\frac{\cot x\tan x}{\sec^{2}x - 1}\mspace{6mu} dx =$arbitrary constant

Answer 1

Answer: (D)

$\int_{}^{}\frac{\cot x\tan x}{\sec^{2}x - 1}\mspace{6mu} dx =$arbitrary constant

Answer 2

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

$\log(10^{x} + x^{10}) + c$

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

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