Determining Basic Rates of Change Using Integrals
Key Questions

If you know the formula of
#f'(x)# , then you can find the formula#f(x)# except for its constant term by taking an antiderivative#f(x)=\int f'(x)dx# .If you have an additional information about
#f(x)# such as a point on the graph of#f# , then you will be able to find its constant term as well.
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Questions
Introduction to Integration

Sigma Notation

Integration: the Area Problem

Formal Definition of the Definite Integral

Definite and indefinite integrals

Integrals of Polynomial functions

Determining Basic Rates of Change Using Integrals

Integrals of Trigonometric Functions

Integrals of Exponential Functions

Integrals of Rational Functions

The Fundamental Theorem of Calculus

Basic Properties of Definite Integrals