JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

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)

View answer and explanation

Correct option: D

\frac{1}{4}

Option D (1/4) is correct because after finding the indefinite integral and applying the initial condition f(0)=0, we evaluate f(1) to get 1/4.

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