15. Evaluate the line integral (2x^3 - y^3) dx + (x^3 + y^3) dy, where C is the unit circle, and

Name: 15. Evaluate the line integral (2x^3 - y^3) dx + (x^3 + y^3) dy, where C is the unit circle, and verify Green's theorem for this case.
Uploaded: 2020-11-13T17:19:38-08:00
Duration: 3 min 30 s
Channel: Dharmendra Jain
Description: 15. Evaluate the line integral (2x^3 - y^3) dx + (x^3 + y^3) dy, where C is the unit circle, and verify Green's theorem for this case.

Hello everyone. In this given question we have to verify the green theorem for the line integral

Question

15. Evaluate the line integral \( \int_C (2x^3 - y^3) dx + (x^3 + y^3) dy,\) where C is the unit circle, and verify Green's theorem for this case.

          15. Evaluate the line integral \( \int_C (2x^3 - y^3) dx + (x^3 + y^3) dy,\) where C is the unit circle, and verify Green's theorem for this case.