449K views · 8.9K reactions | Grade 8: Cartesian plane (Part 1 of 4) | Ms. Riza Teaching Math | Facebook

13K views · 1.5K reactions | When we transform an integral from Cartesian to polar coordinates, dx dy becomes r dr dθ. This video explains the reason. #math #calculus #integral #integration #polar #replytocomments | ElectricalMath | Facebook

Polar and Cartesian coordinates are two different ways to describe points in a plane. In the Cartesian system, points are defined using horizontal (x) and vertical (y) distances from the origin, which is ideal for straight lines and rectangular shapes. In contrast, the polar system defines points using a radius r and an angle theta, making it more natural for curves that involve circular or spiral patterns. The function r = 3cos(2sin(2θ)) is an example that beautifully shows the power of polar c