If ∫₀¹ (x²¹ + x⁴ + x⁷)(2x¹⁴ + 3x⁷ + 6)^(1/7) dx = 1/7 (11)^(m/n)… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 1 February, Shift 1Definite Integrals

If $\int_{0}^{1} (x^{21} + x^4 + x^7)(2x^{14} + 3x^7 + 6)^{1/7} \, dx = \frac{1}{7} (11)^{m/n}$ where $l, m, n \in \mathbb{N}$ , and $m, n$ are coprime, then $l + m + n$ is equal to:

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