AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Find the volume of revolution shown on the right by rotating the area shown on the left about the -axis. Use the disk method.
Full solution
Q. Find the volume of revolution shown on the right by rotating the area shown on the left about the -axis. Use the disk method.
- Identify Function: Identify the function that defines the boundary of the area being rotated. Let's say the function is .
- Set up Integral: Set up the integral for the volume using the disk method: , where is the interval of rotation.
- Calculate Volume: Calculate the integral to find the volume. This step requires the actual function and limits to perform the calculation.
- Square Function: Make sure to square the function before integrating since we're using the disk method.
- Evaluate Integral: Evaluate the definite integral to find the volume.
- Check Calculation: Check the calculation for any arithmetic or algebraic errors.
More problems from Rational functions: asymptotes and excluded values
QuestionGet tutor help
