Let $I(x)=\int \frac{(x+1)}{x\left(1+x e^x\right)^2} d x, x0$. If $\lim _{x \rightarrow \infty} I(x)=0$ then $I(1)$ is equal to [JEE Main 2023, 08 Apr (Shift 1)]

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Let $I(x)=\int \frac{(x+1)}{x\left(1+x e^x\right)^2} d x, x>0$. If $\lim _{x \rightarrow \infty} I(x)=0$ then $I(1)$ is equal to [JEE Main 2023, 08 Apr (Shift 1)]

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Let \(I(x)=\int \frac{(x+1)}{x\left(1+x e^x\right)^2} d x, x>0\). If \(\lim _{x \rightarrow \infty} I(x)=0\) then \(I…

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Let \(I(x)=\int \frac{(x+1)}{x\left(1+x e^x\right)^2} d x, x&gt;0\). If \(\lim _{x \rightarrow \infty} I(x)=0\) then \(I…

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Let \(I(x)=\int \frac{(x+1)}{x\left(1+x e^x\right)^2} d x, x>0\). If \(\lim _{x \rightarrow \infty} I(x)=0\) then \(I…