Mathematics · 2023
JEE Main · 11 April 2023, Shift 1 · Q26
For m, n>0, let α(m, n)=∫_0^2 t^m(1+3 t)^n d t. If 11 α(10,6)+18 α(11,5)=p(14)^6, then p is equal to ____.
For $\displaystyle m, n>0$, let $\displaystyle \alpha(m, n)=\int_0^2 t^m(1+3 t)^n d t$. If $\displaystyle 11 \alpha(10,6)+18 \alpha(11,5)=p(14)^6$, then $\displaystyle p$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
32
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.