ACJC 2026 Definite Integrals Summary

Anglo-Chinese Junior College 2026 H2 Mathematics 9758: Definite Integrals / Summary / Page 1 of 1 SUMMARY: Definite Integrals Plane Area Area bounded by a curve and x-axis Area bounded by a curve and y-axis y is written as a function of x. Area = f ( ) d b a xx x is written as a function of y. Area = g( ) d d c yy Area bounded by two curves f ( )yx= and g( )yx= is f ( ) g( ) d . b a x x x− Area bounded by two curves defined as p( )xy= and q( )xy= is p( ) q( ) d . d c y y y− Volume of Solid of Revolution Volume of solid of revolution about x-axis Volume of solid of revolution about y-axis Volume = 2 d b a yx Volume = 2 d d c xy Volume of solid generated by region between two curves c d x y a b x a b x y y x y a b x y g( )xy= a b x y c d x y d c y x x c d y