Khan Academy: Line Integrals for Scalar Functions (Part 2)

This video continues to look at evaluating functions by looking at examples of evaluating basic composite functions.

Video lesson showing how to visualize, set up, and solve a line integral.

Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function. Generalizes the expansion of sine using sigma notation and relates it to the expansion for cosine. [9:24]

Video lesson using a Maclaurin series to approximate a cosine function by using a polynomial function. Generalizes the expansion of cosine using sigma notation. [9:59]

Video continues a discussion about the relationship between the polynomial approximations for the sine, cosine and e^x functions from Maclaurin series and uses those to derive Euler's formula and Euler's identity. [10:18]

Video lesson relating the polynomial approximations for the sine, cosine and e^x functions from Maclaurin series. [9:59]

Video lesson showing how to approximate a function at 0 using a polynomial by deriving the first three terms for the formula of a Maclaurin series. [9:45]

Video lesson finishing the derivation of the formula for the Maclaurin series and then applying it to find the polynomial approximation for e^x. [10:09]

This video follows from Khan Academy: Sequences and Series (Part 1) and furthers the idea of the basic geometric series. Explains how to find the sum of both a finite and an infinite geometric series. Uses limits to find the sum of an...

Line integral over a closed path (part 1). This video shows how to visualize and use line integrals to find the surface area along a closed curved. Problem is solved by using three different line integrals.