Question

$integral(1+1/x)^3(1/x^2)dx$

Answer 1

Hola,

$\int\limits {(1+ \frac{1}{x} )^{3} ( \frac{1}{ x^{2} } )} \, dx \\ Sea: u= \frac{1}{x} \\ du= - \frac{1}{ x^{2} } dx \\ = - \int {(1+u)^{3}} \, du \\ =- \frac{(1+u)^{4} }{4} \\ =- \frac{(1+ \frac{1}{x} )^{4} }{4}$