JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

f(x)=\int \frac{5 x^8+7 x^6}{\left(x^2+1+2 x^7\right)^2} d x,(x \geq 0)

, and

f(0)=0

, then the value of

f(1)

is:

View answer and explanation

Correct option: A

-\frac{1}{2}

Option D (

\frac{1}{4}

) is correct because after performing the integration and applying the initial condition f(0)=0, we find f(1) = 1/4.

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