Let P(x) be a real polynomial of degree 3 which vanishes at x = - 3. Let P(x) have local minima at x = 1, local maxima at x = - 1 and ∫₋₁¹ P(x)dx = 18, then the sum of all the coefficients of the polynomial P(x) is equal to _ _ _ _ _.

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Evening shift · Q31

JEE Main 202118 Mar, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

Let P(x) be a real polynomial of degree 3 which vanishes at x =

-

3. Let P(x) have local minima at x = 1, local maxima at x =

-

1 and

\int\limits_{ - 1}^1 {P(x)dx}

= 18, then the sum of all the coefficients of the polynomial P(x) is equal to _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Integral Calculus Question with Answer (18 Mar Evening shift, Q31) | JEE Arc