Final Answer
Step-by-step Solution
Specify the solving method
Multiplying polynomials $\frac{1}{x}$ and $\frac{1}{1+x}-e^{-x}$
Learn how to solve differential calculus problems step by step online.
$\int\left(\frac{1}{x}\frac{1}{1+x}+\frac{-e^{-x}}{x}\right)dx$
Learn how to solve differential calculus problems step by step online. Integrate the function (1/(1+x)-e^(-x))1/x from 0 to infinity. Multiplying polynomials \frac{1}{x} and \frac{1}{1+x}-e^{-x}. Simplify the expression inside the integral. The integral \int\frac{1}{x\left(1+x\right)}dx results in: \ln\left(x\right)-\ln\left(1+x\right). Gather the results of all integrals.