JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\int\limits_{0}^x f(\mathrm{t}) \mathrm{dt}=x^2+\int\limits_{x}^1 \mathrm{t}^2 f(\mathrm{t}) \mathrm{dt}

, then

f^{\prime}(1 / 2)

is:

View answer and explanation

Correct option: A

\frac{24}{25}

Option A (

\frac{24}{25}

) is correct because it is the value of

f'(1/2)

obtained after differentiating the given integral equation and solving for

f'(x)

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