Mathematics · 2023
JEE Main · 8 April 2023, Shift 1 · Q11
Let I(x)=∫ ((x+1))/(x(1+x e^x)^2) d x, x>0. If lim_x → ∞ I(x)=0, then I(1) is equal to
Let $\displaystyle I(x)=\int \frac{(x+1)}{x\left(1+x e^x\right)^2} d x, x>0$. If $\displaystyle \lim _{x \rightarrow \infty} I(x)=0$, then $\displaystyle I(1)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{e+2}{e+1}-\log _e(e+1)$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.