Evaluate the integral (int_{0}^{infty} frac{(ln x)^{2}}{1+x^{2}} d x). [Replace (x) with (z=e^{t}) and use the rectangular contour in Figure 7. 55 with (R ightarrow

Evaluate the integral \(\int_{0}^{\infty} \frac{(\ln x)^{2}}{1+x^{2}} d x\).

[Replace \(x\) with \(z=e^{t}\) and use the rectangular contour in Figure 7. 55 with \(R \rightarrow \infty\).]

Data from Figure 7.55

-R+i R+i -R R X