Properties+of+Definite+Integrals

By comparrison to an indefinate integral whose interval of integration is not known, a definite integral is defined from one input value to another input value. This property allows the integral to be analyzed with the fundamental theorem of calculus. Simply input the antiderivative of the function at the higher domain value and subtract the antiderivative at the lower domain value.

If the bounderies are fliped then multiply by negative one.

If the bounderies are equal then the area is zero.

Total area can be found with an absolute value placed on the function.

If the upper bound is a variable and the lower is a consant then substitute the boundary variable for the present variable.