1. F(x) = 1 - 1/x (x greater than or equal to 1)
You can do this in two ways. You can calculate the PDF, f, and then integrate . The PDF is just the derivative of the CDF, if continuous.
which does not converge.
2. F(x) = 1 - exp(-x^2) (x greater than or equal to 1)
I guess I would try integration by parts with
You will probably need to use the standard normal table in your stats book to do which should pop out after the integration by parts step. That integral is almost the area under the curve of the standard normal distribution, but it is missing a .