This video looks at the arc length of a function.
- Author:
- Khan, Salman
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This video looks at the Volume of a solid of rotation and chain Rule for rates of change.
- Author:
- Khan, Salman
This video looks at the Taylor series approximation of sin(x).
- Author:
- Khan, Salman
This video looks at the Taylor series for cos x at x=0.
- Author:
- Khan, Salman
This video looks at calculating the 6th derivative at 0 from the Taylor series approximation.
- Author:
- Khan, Salman
This video looks at the Lagrange error bound for Taylor Polynomial approximation.
- Author:
- Khan, Salman
This video looks at using Green's Theorem to establish a two dimensional version of the divergence Theorem.
- Author:
- Khan, Salman
This 9-minute video lesson gives an antiderivative example.
- Author:
- Khan, Salman
An earlier tutorial used Green's theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the "divergence theorem"). We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it's volume). We will use it in examples. We will prove it in another tutorial.
- Author:
- Khan, Salman
This course is oriented toward US high school students. Its structure and materials are aligned to the US Common Core Standards. Foci include: derivatives, integrals, limits, approximation, and applications.
This video looks at another substitution with x=sin (theta).
- Author:
- Khan, Salman
Tnis 6-minute video lesson examines finding the antiderivative using u-substitution.
- Author:
- Khan, Salman
This video looks at the antiderivative of hairier expression.
- Author:
- Khan, Salman
This video looks at the antiderivative of x^-1.
- Author:
- Khan, Salman
This video looks at the antiderivative of xcosx using integration by parts.
- Author:
- Khan, Salman
You are very familiar with taking the derivative of a function. Now we are going to go the other way around--if I give you a derivative of a function, can you come up with a possible original function. In other words, we'll be taking the anti-derivative!
- Author:
- Khan, Salman
This 9-minute video lectures covers Part 1a of the 2008 BC free response.
- Author:
- Khan, Salman
This 10-minute video lesson looks at parts B and C of problem 1 (free response) of the AP Calculus BC Exams.
- Author:
- Khan, Salman
This 9-minute video lesson looks at parts C&D of problem 1 in the 2008 AP Calculus BC free response.
- Author:
- Khan, Salman
This 5-minute video lesson looks at part 1D of the 2008 AP Calculus BC exam (free response).
- Author:
- Khan, Salman