Unit XIII. Applications of Integrals
Activities- 1 Area Function
In this activity, students explore the graph of an area function, that is, a function defined as the integral of another function. Tutorials- 2 Area between Two Curves
This tutorial discusses the method for finding the area between two curves. - 3 Average Value
This tutorial considers the average value of a function in terms of area. - 4 Volumes Using Cross-Sections
This animated tutorial discusses the volume of a solid as the integral of the cross-sectional area. - 5 Volumes Using Disc Method
This tutorial discusses the volume of a solid formed by revolving a function around the x-axis. - 6 Volumes Using Shell Method
This tutorial discusses the volume of the solid obtained by rotating part of a parabola around the y-axis. - 7 Volumes Using Washer Method
This tutorial discusses the volume of a solid of revolution created by rotating the area between two curves around the x-axis.
