Mathematics · 2023
JEE Main · 12 April 2023, Shift 1 · Q27
Let I(x)=∫ √((x+7)/x) d x and I(9)=12+7 log_e 7. If I(1)=α+7 log_e(1+2 √ 2 ), then α^4 is equal to ____.
Let $\displaystyle I(x)=\int \sqrt{\frac{x+7}{x}} \mathrm{~d} x$ and $\displaystyle I(9)=12+7 \log _e 7$. If $\displaystyle I(1)=\alpha+7 \log _e(1+2 \sqrt{2})$, then $\displaystyle \alpha^4$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
64
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.