








The Meaning of Integration






Organization:  Oakland High School 
Department:  Mathematics Department 






Precollege






This lesson helps students understand the meaning of integration, including:  Integration can be used to find area under a curve. The value of the integral is an area if the integrand is always nonnegative on an interval.
 Integrals can also have a value which is negative or zero.
 Integrals can be evaluated by using the geometric interpretation of the integral to simplify the calculations in some cases.
 The integral can be used to find the average value of a function over an integral.
 Symmetry can be used to simplify integrals.
 Integration can be used to accumulate a rate of change.
 An integral can be used to find the value of a function at a point.
 An Integral can be used to define a new function.
 The integral is an infinite sum of products. (Riemann Sum)












Integration, Area Under a Curve, Geometric Interpretation, Average Value of a Function, Symmetry, Accumulate a Rate of Change, Value of a Function at a Point, Infinite Sum of Products, Riemann Sums, Fundamental Theorem of Calculus






 MeaningIntegrationClosed.nb (46.8 KB)  Mathematica Notebook 







   
 
