Recent content by sirhc1

Wow, Gamma(3) = 2!, not 3!. Silly me! Thanks anyways.

Homework Statement \int_0^∞ x^2exp(-x/2) dx Homework Equations The Attempt at a Solution Using u substitution: u = x/2 du = 1/2 dx \int_0^∞ 4u^2exp(-u) du*2 = 8 \Gamma(3) = 8*3! = 48 But the correct answer is 16 when I plug it in Wolfram's definite integral...

Just noticed the SAME question was asked 3 days ago. https://www.physicsforums.com/showthread.php?t=554227&highlight=change+the+order+of+integration @HallsofIvy, I came up with the same solution as you for dxdydz. However, when I integrate for f(x,y,z) = 1, the answer is incorrect. I do not...

Homework Statement [SIZE="4"]\int^{1}_{0}\int^{x^2}_{0}\int^{y}_{0} f(x,y,z) dz dy dx Find 5 equivalent iterated integrals. Homework Equations 0 ≤ z ≤ y 0 ≤ y ≤ x^2 0 ≤ x ≤ 1 The Attempt at a Solution 1) [SIZE="4"]\int^{1}_{0}\int^{√y}_{0}\int^{x^2}_{0} f(x,y,z) dz...