Evaluate ∫ dx/(x^2 + 2x + 2).

Indefinite Integrals · Question 53 of 90

Question 53

MediumOriginal question

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

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

Correct answerYour answer

\frac{1}{2}\tan^{-1}\frac{x + 1}{2} + C

Correct answerYour answer

\log\left|x^{2} + 2x + 2\right| + C

Correct answerYour answer

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

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Worth noting

$\tan^{-1}(x - 1)$ gets the sign of the shift wrong: $x^{2} + 2x = (x + 1)^{2} - 1$ .

Ten questions from Indefinite Integrals, at your own pace.

Ten questions from Indefinite Integrals, at your own pace.