JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

f(x) = \int {\frac{{5{x^8} + 7{x^6}}}{{{{({x^2} + 1 + 2{x^7})}^2}}}dx,(x \ge 0)}

, and

f(0) = 0

, then the value of

f (1)

View answer and explanation

Correct option: C

\frac{1}{4}

Option C (

\frac{1}{4}

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

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