Examples finding absolute maximums, antiderivatives, and definite integrals

Using integrals to solve application problems

Integrating to find a function from its derivative and an initial condition

Proving facts about antiderivatives and a physics application

Solving separable differential equations involving Newton's Law of Cooling and orthogonal trajectories

Solving first order linear differential equations

Determining where a first-order linear initial value problem has a solution and then solving it

Solving a first-order linear initial value problem to determine the concentration of salt in a tank

Finding the equilibrium solutions and properties for an autonomous differential equation