Reduction formulae (intro)
Definite integration · Mathematics
Study notes
Q: Evaluate the integral from 0 to pi/2 of sin^4 x dx using reduction. I_n = ((n-1)/n) I_(n-2). I_0 = pi/2, I_1 = 1. I_2 = (1/2) I_0 = pi/4. I_4 = (3/4) I_2 = (3/4)(pi/4) = 3pi/16.