$\int \frac{e^x(1+x)}{\cos ^2(e^x \cdot x)} dx =$
- A$-\cot(e^x) + c$,where $c$ is a constant of integration.
- B$\tan(x \cdot e^x) + c$,where $c$ is a constant of integration.
- C$\tan(e^x) + c$,where $c$ is a constant of integration.
- D$-\cot(x \cdot e^x) + c$,where $c$ is a constant of integration.
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$\int \frac{x}{\sqrt{1-2 x^4}} \, dx = $ (Where $C$ is a constant of integration)
$\begin{aligned} & \int \frac{dx}{(2 \sin x+\sec x)^4}=A(1+\tan x)^{-5} \\ & +B(1+\tan x)^{-6}+C(1+\tan x)^{-7}+k, \text{ then } \\ & A+B+C= \end{aligned}$
The integral $\int \frac{2x^3 - 1}{x^4 + x} \,dx$ is equal to (Here $C$ is a constant of integration)
DifficultJEE MAIN 2019
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