EM9: Double Integrals - Area enclosed by plane curves, change of variables

In this video, we discuss the Area enclosed by plane curves, the change of variables in Double Integrals.
The problem is explained by an example where the area within an intersection of two circles is computed: r = acosθ and r = asinθ.
The area is first computed by converting the equations into cartesian form. Then it is explained by polar form.

This video is a part of a lecture delivered on 28-06-2022 at NIT Jamshedpur
by
डॉ. महेन्द्र कुमार गुप्ता / Dr. Mahendra Kumar Gupta
गणित विभाग / Department of Mathematics
राष्ट्रीय प्रौद्योगिकी संस्थान जमशेदपुर / National Institute of Technology Jamshedpur
जमशेदपुर - ८३१०१४ / Jamshedpur - 831014
झारखण्ड / Jharkhand
भारत / India