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Definite Integration question

2023 · 11 Apr · Shift 1 · Q43

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JEE Main
Mathematics
Definite Integration
2023 · 11 Apr · Shift 1 · Q43

Definite Integration question

2023 · 11 Apr · Shift 1 · Q43

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

For

m, n \gt 0

, let

\alpha(m, n)=\int_{0}^{2} t^{m}(1+3 t)^{n} d t

. If

11 \alpha(10,6)+18 \alpha(11,5)=p(14)^{6}

, then

p

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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