JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f:[-1,0] \rightarrow R

be a function differentiable within the domain and that

\int\limits_{{-1}}^0(f(x))^2 d x=10

and

f(-1)=2

. The value of the integral

\int\limits_{{-1}}^0 x f^{\prime}(x) f(x) d x

, is:

View answer and explanation

Correct option: C

-3

Option C is correct because integrating by parts and using the given information leads to the value -3.

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