If $\mathop \smallint \limits_{ - 1}^4 \,\,f\left( x \right)\,\,dx = 4$ and $\mathop \smallint \limits_2^4 \,\,\left( {3 - f\left( x \right)} \right)\,\,dx = 7$, then the value of $\mathop \smallint \limits_2^{ - 1} \,\,f\left( x \right)dx$, is

$\begin{array}{*{20}{l}} {\rm{2}} \end{array}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \limits_{ - 1}^4 \,\,f\left( x \right)\,\,dx = 4

and

\int \limits_2^4 \,\,\left( {3 - f\left( x \right)} \right)\,\,dx = 7

, then the value of

\int \limits_2^{ - 1} \,\,f\left( x \right)dx

, is

View answer and explanation

Correct option: C

- \,5

Option C (-5) is correct because the integral can be evaluated using the properties of definite integrals and the given information.

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