JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{dx}}{{{x^2} + 2x + 2}} = f\,\left( x \right) + c

, then

f\left( x \right)

is equal to

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because completing the square and using the standard integral formula for arctangent yields this result.

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