{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

AppIntegday3notes

# AppIntegday3notes - Applications of Integration Day 3...

This preview shows pages 1–5. Sign up to view the full content.

Calculus Applications of Integration Page 9 Applications of Integration Day 3 Volumes of Solids by Plane Slices Consider the volume of a cylinder Consider a bounded region and rotating that region around the x-axis. Take a slice and consider its volume. Take the sum of the volumes of each slice. What do you get? Volume formula:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Calculus Applications of Integration Page 10 Example 1 The region bounded by the curve y = x and the x-axis over the interval [1,4] is rotated about the x-axis to generate a solid. Find the volume of the solid. Find the volume of the solid generated by revolving the region bounded by the lines and curves about the x-axis Example 3 Example 4 y = x 2 , x = 2, y = 0 y = sec x , x = π 4 , x = π 3 , y = 0
Calculus Applications of Integration Page 11 Find the volume of the solid generated by revolving the region bounded by the lines and curves about the y-axis Example 5 Example 6 y = 1 x 2 , y = 0, x = 0 x = 3 y 2 , y = − 1, y = 1, x = 0 Example 7 The region bounded by the curve y = 4 x 2 and y = 2 x is rotated about the x- axis to generate a solid. Find the volume of the solid.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Calculus Applications of Integration
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}