JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{1}{x^2+4 x+13} d x

is equal to

View answer and explanation

Correct option: B

\frac{1}{3} \tan ^{-1}\left(\frac{x+2}{3}\right)

Option B,

\frac{1}{3} \tan ^{-1}\left(\frac{x+2}{3}\right)

, is correct because completing the square and using the arctangent integral formula leads to this result.

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