Recent content by mecattronics

Hi hedipaldi, thanks for your help! How did you get this formula?

Homework Statement The reduction formula is: \int (1-x^2)^n dx = (1-x^2)^n x + 2n \int x^2(1-x^2)^{n-1} dx and the question is: use this formula above how many times is necessary to prove: \int^{1}_{0} (1-x^2)^n dx = 2n \frac{2(n-1)}{3} \frac{2(n-2)}{5} ... \frac{4}{2n-3}...