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Definite Integration question

2021 · 18 Mar · Shift 2 · Q43

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 18 Mar · Shift 2 · Q43

Definite Integration question

2021 · 18 Mar · Shift 2 · Q43

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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