Solution Found!
Comparing integrals Graph the functions f(x) = ±l/x2, g(x)
Chapter 1, Problem 50RE(choose chapter or problem)
Comparing integrals Graph the functions \(f(x)=\pm 1 / x^{2}\), \(g(x)=(\cos x) / x^{2}\), and \(h(x)=\left(\cos ^{2} x\right) / x^{2}\). Without evaluating integrals and knowing that \(\int_{1}^{\infty} f(x) d x\) they have a finite value, determine whether \(\int_{1}^{\infty} g(x) \ d x\) and \(\int_{1}^{\infty} h(x) \ d x) have finite values.
Questions & Answers
QUESTION:
Comparing integrals Graph the functions \(f(x)=\pm 1 / x^{2}\), \(g(x)=(\cos x) / x^{2}\), and \(h(x)=\left(\cos ^{2} x\right) / x^{2}\). Without evaluating integrals and knowing that \(\int_{1}^{\infty} f(x) d x\) they have a finite value, determine whether \(\int_{1}^{\infty} g(x) \ d x\) and \(\int_{1}^{\infty} h(x) \ d x) have finite values.
ANSWER:Step 1 of 3
Graphs of the given functions are ,