Epitech Project, MATHS 110
Subject:
In 2001, the Borwein brothers studied integrals that now bear their name. Some decades ago, an old-school mathemacian would have had to hand-calculate the values of the first integrals (it would need some months, or even years), then suppose all the integrals equal π 2 , and finally try and demonstrate this conjecture. You are not that kind of person. Today, we use numerical calculus to know a many values of these integrals as possible before getting into a demon- stration ; this is the goal of this project. You have to compute Borwein integrals, using the rectangle method, the trapezoidal rule and the Simpson rule, and print both the I n and the difference between this value and π 2 .
Usage:
./110borwein n
n constant defining the integral to be computed
Example:
