Chapter 8, Problem 112RE

To determine

Whether the integrals ${\displaystyle {\int }_1^{\infty }g\left(x\right)dx}$ and ${\displaystyle {\int }_1^{\infty }h\left(x\right)dx}$ have finite values by graphing the functions $f\left(x\right)=\pm \frac{1}{x^2},g\left(x\right)=\frac{\cos x}{x^2}$ and $h\left(x\right)=\frac{{\cos }^{2}x}{x^2}$.