Applications of Integration

Video Links

Average Value

Average value of a function on a closed interval


Calculating the average value- Example


Mean Value Theorem for Integrals


Area Between Two Curves

Area of a Region Between Two Curves


Area Between Curves with Multiple Boundaries


Volume of Solids

Known Cross-Sections

Volume of Solids with Known Cross-Sections


Volume of solids with known cross-sections- Example


Disk and Washer Methods

Disk Method around x-axis


Disk Method around y-axis


Disk method-rotation around horizontal line


Disk method rotation around vertical line


Washer Method


Washer Method rotating about a horizontal line


Shell Method

Shell Method for rotating around horizontal line


Shell Method for rotating around vertical line


Shell Method with two functions of x


Shell Method with two functions of y- Part 1


Shell Method with two functions of y- Part 2


Class Notes (Coming Soon)

Extra Practice (Coming Soon)