Mathematics · 2023
JEE Main · 1 February 2023, Shift 1 · Q85
If ∫_0^1(x^21+x^14+x^7)(2 x^14+3 x^7+6)^1 / 7 d x=1/l(11)^m / n where l, m, n ∈ N, m and n are coprime then l+m+n is equal to ____.
If $\displaystyle \int_0^1\left(x^{21}+x^{14}+x^7\right)\left(2 x^{14}+3 x^7+6\right)^{1 / 7} d x=\frac{1}{l}(11)^{m / n}$ where $\displaystyle l, m, n \in \mathbb{N}, m$ and $\displaystyle n$ are coprime then $\displaystyle l+m+n$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
63
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.