Search for tag: "calculus"

Average value of a function

Using integrals to compute work, part 2

Using integrals to compute work, part 1

Method of Shells

Rotating about other horizontal and vertical axes. (Typo fixed in 2nd problem.)

Approximate integration, updated to fix sound

Volumes of objects with known cross-sections

Solids of Revolution: more general horizontal and vertical axes

Method of Shells and Washers

A few more integration problems

Method of Substitution

Finding area between curves

Method of Substitution with definite integrals

Indefinite Integrals

The Net Change Theorem

Fundamental Theorem of Calculus, part 1, with proof.

Riemann sums and the Definite Integral. (Typos fixed.)

Properties of the definite integral.

Chopping up the area under a curve into rectangles

Motion Antiderivative Problems

Antiderivatives

Netwon's method, typos fixed.

Newton's Method

More optimization word problems