Area between Curves
The
area between curves is given by the formulas below.
Formula 1: 


for a region bounded above and below by y = f(x) and y = g(x), and on the left and right by x = a and x = b.

Formula 2: 


for a region bounded left and right by x = f(y) and x = g(y), and above and below by y = c and y = d.

Example 1:^{1} 
Find the area between y = x and y = x^{2} from x = 0 to x = 1.



Example 2:^{1} 
Find the area between x = y + 3 and x = y^{2} from y = –1 to y = 1.



See
also
Area
under a curve, definite
integral, absolute value rules
