# Improper Integral – A multiplication of functions on an infinite interval – Exercise 6976

Exercise

Evaluate the integral

$$\int_{1}^{\infty} [(1+\frac{1}{x^3})(2-\frac{4}{x^2})-2]dx$$

$$\int_{1}^{\infty} [(1+\frac{1}{x^3})(2-\frac{4}{x^2})-2]dx=-4$$