Let I(x)=∫ ((x+1))/(x(1+x eˣ)²) d x, x > 0. If lim x → ∞ I(x)=0, then I(1) is equal to:

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Morning shift · Q4035

JEE Main 20238 Apr, Morning shiftMathematicsHardIntegral Calculus369× since 2002

Let

I(x)=\int \frac{(x+1)}{x\left(1+x e^{x}\right)^{2}} d x, x > 0

. If

\lim_\limits{x \rightarrow \infty} I(x)=0

, then

I(1)

is equal to :

JEE Main 2023 · 8 Apr, Morning shift · Q4035

JEE Main 20238 Apr, Morning shiftMathematicsHardIntegral Calculus369× since 2002

Let

I(x)=\int \frac{(x+1)}{x\left(1+x e^{x}\right)^{2}} d x, x > 0

. If

\lim_\limits{x \rightarrow \infty} I(x)=0

, then

I(1)

is equal to :