The value of \\int{e^{x}}/{e^{2 x}-4} d x will be ______, where C is an arbitrary constant.

Correct Answer is : 14log|ex−2ex+2|+C

\frac{1}{2} \log |{e^{x}+1}/{e^{x}-1}|+C

\frac{1}{3} \log |{2 e^{x}-1}/{2 e^{x}+1}|+C

\frac{1}{4} \log |{e^{x}-2}/{e^{x}+2}|+C

\frac{1}{2} \log |{e^{2 x}+2}/{e^{2 x}-2}|+C

UPSC NDA Math Model Paper 2

Question : 6 of 120

Marks: +1, -0

The value of ∫

e2x−4

dx will be ______, where C is an arbitrary constant.

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