# calculus area under the curve approximation

Whenever we are taking area under the curve we leave some area while calculating the area. We take it for a small change in x and then add it. But at the end there is some part of the total area which is left. Is integration an approximation?

• As a rule the area is defined starting from the integral, not vice versa. – Tony Piccolo Jun 16 '13 at 11:09