JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

y=f(x)

makes positive intercepts of 2 and 1 unit on

x

and

y

coordinate axes and encloses an area of

3 / 4

square unit with the axes, then

\int\limits_{0}^2 x f^{\prime}(x) d x

, is

View answer and explanation

Correct option: D

-\frac{3}{4}

Option D (

-\frac{3}{4}

) is correct because it is the result of integration by parts, using the given information about the function's intercepts and area.

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