# Deriving the Work-Energy Theorem using Calculus

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-Kinetic Energy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic.

Content Times:
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?

Next Video: Work-Energy Theorem Problem by Billy
http://www.flippingphysics.com/wnet-billy.html