Double integrals
Multivariable and vector calculus · Mathematics
Study notes
Q: Evaluate the integral from 0 to 2 of the integral from 0 to 1 of (x + 2y) dy dx. Inner (y first): integral 0 to 1 of (x + 2y) dy = [xy + y^2] 0 to 1 = x + 1. Outer: integral 0 to 2 of (x + 1) dx = [x^2/2 + x] 0 to 2 = 2 + 2 = 4.