How to Simplify Double Integrals with U-Substitution — Step by Step

In this video, I walk you through the step-by-step process of solving the problem: Calculate the iterated integral. Double integral from 0 to 1 and 0 to 1 of (2x + y)^7 dx dy We use u-substitution to simplify this complex double integral and break it down into manageable steps. You’ll see how to apply u-substitution in double integrals and how it helps simplify the problem for easy calculation. I’ll also explain how to change the limits of integration and the differential so that the entire integral is in terms of u, and how to split an integral into two separate integrals for an easier solution. Please like the video if you enjoyed it or learned something, and share it with someone who could learn from this video. To continue learning, check out more of my videos and subscribe to my channel with notifications for more math and educational content. Thank you for watching, and have a great day! Contents of the video: 0:00 - 0:20 Intro 0:20 - 6:40 Solving the Inner Integral 6:40 - 13:27 Solving the Outer Integral 13:27 - 13:53 Outro #calculus3 #doubleintegrals #usubstitution