JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

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

View answer and explanation

Correct option: A

\frac{e+2}{e+1}-\log _{e}(e+1)

Option B (

x^{2}+7 x+12=0

) is correct because solving the given equation for z yields values for alpha and beta, whose sum and product are the roots of the equation

x^{2}+7 x+12=0

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