The value of \int {e^{x}}/{e^{2x}−4}dx 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 ⁡{| {2e^{x}−1}/{2e^{x} + 1} |} + C

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

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

AAI ATC Junior Executive 2018 Shift 1 Paper

Question : 68 of 120

Marks: +1, -0

The value of

∫ \;{e^{x}}/{e^{2x}−4}dx

will be ______, where C is an arbitrary constant.

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