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Definite Integration question

2023 · 1 Feb · Shift 1 · Q35

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 1 Feb · Shift 1 · Q35

Definite Integration question

2023 · 1 Feb · Shift 1 · Q35

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If

\int_{0}^{1}\left(x^{21}+x^{14}+x^{7}\right)\left(2 x^{14}+3 x^{7}+6\right)^{1 / 7} d x=\frac{1}{l}(11)^{m / n}

where

l, m, n \in \mathbb{N}, m

and

n

are coprime then

l+m+n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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