Title 76 Areas by Integration.pdf ✅

MSTC 76: Areas by Integration The key to solving the area of a curve by integration is to set up the differential areas. This depends on the coordinate system and the most feasible orientation of the differential area based on the equations. 1. Cartesian Coordinates Cartesian coordinates feature integrals with dx or dy. Vertical strips use dx, while horizontal strips use dy. 1.1. Vertical Strip From the figure, the area is A = ∫ [f(x) − g(x)]dx x2 x1 1.2. Horizontal Strip With a similar development to the vertical strip but with a different orientation, A = ∫ [f(y) − g(y)]dy y2 y1