BetaCalculus Corner is in beta: things may change while we test, and payments aren't open yet.

© Calculus CornerGetting started Terms Privacy Contact

Chapter 08Applications of Integrals

0108.01Derivatives of Integral Functions
0208.02Net Change and Area Between Curves
0308.03Volume by Slicing
0408.04Solids of Revolution: Disk/Washer Method
0508.05Solids of Revolution: Shell Method
0608.06Average Value of a Function
0708.07Arc Length
0808.08Surface Area of Solids of Revolution
0908.09Tricky Integrals
1008.10Calculating Work
1108.11Center of Mass
1208.12Other Physical Applications

Chapter 08 · Applications of Integrals

0108.01Derivatives of Integral Functions
0208.02Net Change and Area Between Curves
0308.03Volume by Slicing
0408.04Solids of Revolution: Disk/Washer Method
0508.05Solids of Revolution: Shell Method
0608.06Average Value of a Function
0708.07Arc Length
0808.08Surface Area of Solids of Revolution
0908.09Tricky Integrals
1008.10Calculating Work
1108.11Center of Mass
1208.12Other Physical Applications

Topics / 08 Applications of Integrals

08.10

Calculating Work

When the force changes, or different pieces move different distances, work is an integral.

About 16 minutes

You'll learn to

→Compute work done by a variable force
→Use Hooke's law for springs
→Find the work to lift cables and chains
→Find the work to pump liquid out of a tank

← 08.09 Tricky Integrals 08.11 Center of Mass →

Semester Pass

Unlock this lesson and every other topic

The full explanation, videos and 7 practice problems for this lesson are part of the Semester Pass: $49 once for 4 months of full access. No subscription, nothing renews.

Create a free account What's included

The first section of every chapter is free. Try 08.01 Derivatives of Integral Functions.