If $\mathop \smallint \nolimits_{ - 1}^4 \,\,f\,\left( x \right)\,\,dx = 4$ and $\mathop \smallint \nolimits_2^4 \,\,\left\{ {3\,\, - \,\,f\left( x \right)} \right\}\,\,dx = 7$, then the value of \[\mathop \smallint \nolimits_{ - 1}^2 \,\,f\left( x \right)\,\,dx\] is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

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

and

\int \nolimits_2^4 \,\,\left\{ {3\,\, - \,\,f\left( x \right)} \right\}\,\,dx = 7

, then the value of

\int \nolimits_{ - 1}^2 \,\,f\left( x \right)\,\,dx

View answer and explanation

Correct option: D

\mathrm{5}

Option D (5) is correct because the integral from -1 to 2 is found by subtracting the integral from 2 to 4 from the integral from -1 to 4.

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