Question

Use a double integral to find the area inside the cardioid

A) Circular integral method
B) Polar coordinates integration
C) Rectangular coordinates integration
D) Line integral technique

Answer 1

There are multiple methods to find the area inside a cardioid using a double integral.

Step-by-step explanation:

The student is asking how to find the area inside the cardioid using a double integral. There are multiple methods to do this:

A) Circular integral method: This involves using Cartesian coordinates and integrating over the region bounded by the cardioid.

B) Polar coordinates integration: This method utilizes polar coordinates and integrates over the region bounded by the cardioid.

C) Rectangular coordinates integration: This method uses rectangular coordinates and integrates over the region bounded by the cardioid.

D) Line integral technique: Line integral is not used to find area, but rather to find work or other physical quantities. It is not applicable for finding the area inside the cardioid.