JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\int \frac{5 x+4}{\sqrt{x^2+2 x+5}} d x=\left(x^2+2 x+5\right)^{1 / 5}+f(x)+c

then

f (x)

is equal to

View answer and explanation

Correct option: B

-\log _e\left(x+1+\sqrt{x^2+2 x+5}\right)

The correct answer is B (

-\log _e(x+1+\sqrt{x^2+2 x+5})

) because it results from correctly evaluating the integral after completing the square and using a suitable substitution.

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