Evaluate ∫ e^x/(e^2x + 1) dx.

Indefinite Integrals · Question 54 of 90

Question 54

MediumOriginal question

Evaluate $\int \frac{e^{x}}{e^{2x} + 1}\,dx$ .

\frac{1}{2}\log\left(e^{2x} + 1\right) + C

Correct answerYour answer

\tan^{-1}\left(e^{2x}\right) + C

Correct answerYour answer

\log\left(e^{x} + 1\right) + C

Correct answerYour answer

\tan^{-1}\left(e^{x}\right) + C

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Worth noting

$\frac{1}{2}\log(e^{2x} + 1)$ would need $e^{2x}$ on top, the derivative of the bottom over 2.

Ten questions from Indefinite Integrals, at your own pace.

Ten questions from Indefinite Integrals, at your own pace.