Function Notation

This lesson introduces function notation and provides several examples of determining function values.

Ex 1: Definite Integration Using Trigonometric Substitution

This video provides an example of how to evaluate a definite integral using trigonometric substitution.

Ex 2: Definite Integration Using Trigonometric Substitution

This video provides an example of how to evaluate a definite integral using trigonometric substitution.

Ex: Rational Function Values

This video provides three examples of how to determine the function value of a rational function by hand and on the calculator. The results are verified graphically.

Ex: Definite Integral Involving a Basic Linear Function

This video provides an example of how to evaluate a definite integral involving a linear function. We find the area under the function on the closed interval.

Ex: Definite Integral Involving a Basic Rational Function

This video provides an example of how to evaluate a definite integral involving a basic rational function. We find the area under the function on the closed interval.

Ex: Definite Integral Involving a Rational Function Requiring Simplifying

This video provides an example of how to evaluate a definite integral involving a rational function that requires simplifying before integrating.

Ex: Definite Integration Involving a Basic Trig Function (nonnegative)

This video provides an example of how to evaluate a definite integral involving a basic trigonometric function. The function is nonnegative.

Ex: Definite Integration Involving a Basic Trig Function (above and below x-axis)

This video provides an example of how to evaluate a definite integral involving a basic trigonometric function. The function is above and below the x-axis.

Ex: Evaluate the Square Root of a Sum and the Sum of Square Roots on a Calculator

This video explains how to evaluate the square root of a sum and the sum of square roots on the calculator.