Hi There, Hope you are doing well,
Interested in your posting as I’m used to perform such project. I’m ready to send you 2 links right away if you give me a chance.
You will find all what you need application of integration with solved problems applied to:
1. Area between curves
2. Distance, Velocity, Acceleration
3. Volume
4. Average value of a function
5. Work
6. Center of Mass
7. Kinetic energy; improper integrals
8. Probability
9. Arc Length
10. Surface Area
You can choose the following examples and adapt them to your project
Example: A Pumping Problem with a Noncylindrical Tank
Example: The Work Required to Stretch or Compress a Spring
Looking to hear from you soon,
Thanks & Regards,
Leo,