To find the numerical value of $\mathop \smallint \nolimits_{ - 2}^2 \,\,\left( {p{x^3} + qx + s} \right)\,\,dx,\,\,{\rm{it}}$ is necessary to know the values of the constants

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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To find the numerical value of

\int \nolimits_{ - 2}^2 \,\,\left( {p{x^3} + qx + s} \right)\,\,dx,\,\,\mathrm{it}

is necessary to know the values of the constants

View answer and explanation

Correct option: C

s

Option C (s) is correct because the integral of px³ and qx from -2 to 2 is 0 (odd functions), so only the integral of s remains, which depends on the value of s.

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