Evaluating a Double Integral using Polar Coordinates
Автор: Alann Rosas
Загружено: 2025-12-01
Просмотров: 66
In this video, we solve Problem 42 from Section 15.3 of James Stewart's Calculus: Early Transcendentals (9e). This problem gives us an iterated integral and asks us to compute it by converting to polar coordinates. To this end, we sketch the region, determine its description in polar coordinates, then convert the iterated integral using the polar coordinates conversion formula.
0:00 Problem statement
0:22 Beginning solution process
1:04 Sketch of the region
2:32 Determining shape of upper boundary curve
4:55 Determining description of region in polar coordinates
9:22 Computing double integral using polar coordinates
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