# Improper Integral – A quotient of functions on an infinite interval – Exercise 6983

Exercise

Evaluate the integral

$$\int_{1}^{\infty}\frac{x+1}{x^{\frac{5}{2}}}dx$$

$$\int_{1}^{\infty}\frac{x+1}{x^{\frac{5}{2}}}dx=\frac{8}{3}$$