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math121a-f23:september_15_friday

Contour Integral: exercise day

Let's see some cool application of contour integral first.

1. R1/(1+x2)dx\int_\R 1/(1+x^2) dx


didn't finish, the rest will wait till next week.

2. 01/(1+x3)dx\int_0^\infty 1/(1+x^3) dx

3. 0ex/(1+x3)dx\int_0^\infty e^{-x}/(1+x^3) dx

4. Rxx4+1ex2dx\int_\R \frac{x}{x^4+1} e^{-x^2} dx

math121a-f23/september_15_friday.txt · Last modified: 2023/09/15 21:37 by pzhou