Definite Integrals (part 4) Examples of using definite integrals to find the area under a curve

Definite Integrals (area under a curve) (part III) More on why the antiderivative and the ...

Definite integrals (part II) More on why the antiderivative and the area under a curve are ...

Introduction to definite integrals Using the definite integral to solve for the area under a ...

Another u-subsitution example Finding the antiderivative using u-substitution.

Indefinite Integration (part 7) Another example using integration by parts.

Integration by Parts (part 6 of Indefinite Integration) Example using Integration by Parts

Indefinite Integration (part V) Introduction to Integration by Parts (kind of the ...

Indefinite Integration (part IV) Integration by substitution (or the reverse-chain-rule)

Indefinite Integration (part III) Integration by doing the chain rule in reverse.

Indefinite integrals (part II) Examples of taking the indefinite integral (or ...

The Indefinite Integral or Anti-derivative An introduction to indefinite integration of ...

Mean Value Theorem Intuition behind the Mean Value Theorem

Ladder rate-of-change problem The classic falling ladder problem

Rates-of-change (part 2) Another (simpler) example of using the chain rule to determine ...

Equation of a tangent line Finding the equation of the line tangent to f(x)=xe^x when x=1

Introduction to rate-of-change problems Using derivatives to solve rate-of-change problems

Optimization Example 4 Minimizing the cost of material for an open rectangular box.

Optimization with Calculus 3 A wire of length 100 centimeters is cut into two pieces; one is ...

Optimization with Calculus 2 Find the volume of the largest open box that can be made from a ...

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