Essential Knowledge 3.2C2

Essential Knowledge 3.2C2 Students will know that properties of definite integrals include the integral of a constant times a function, the integral of the sum of two functions, reversal of limits of integration, and the integral of a function over adjacent intervals.

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Pretty good little things to know, make problems much easier (or even possible).

Constant times a Function

Rule

Example

Given

Then

=27

Integral of the Sum of Two Functions

Rule

Example

Given

and

Then

=25

Reversal of Limits of Integration

Rule

Example

Given

Then

Integral of a Function of Adjacent Integrals

Rule

Example

Given

and

Then