Application of Integrals.

7 lessons61 min2 simulations

School geometry has formulas for triangles, rectangles and circles, but not for a region with a curved edge. This chapter uses the definite integral to measure such regions. A region is cut into thin strips, vertical or horizontal, their areas are added, and the sum becomes an integral. The same idea gives the area of a circle and an ellipse, handles parts of a curve that dip below the axis, and, as a JEE extension, the area between two curves.

Also called: area under curves