Created on: August 6, 2010

Website Address: https://library.curriki.org/oer/Indefinite-Integrals

TABLE OF CONTENTS

- Limits
- Derivatives
- The Chain Rule
- Derivatives of Special Functions
- Implicit Differentiation
- Minima and Maxima
- Optimization Problems
- Indefinite Integrals
- Definite Integrals
- Solids of Revolution
- Sequences and Series
- Polynomial Approximations
- Partial derivatives
- AP Calculus BC
- Partial Derivatives
- Double Integrals
- Line Integrals I
- Vectors
- Line Integrals II
- Green's Theorem
- L'Hospital's Rule

- Proof: d/dx(x^n)
- Proof: d/dx(sqrt(x))
- Proof: d/dx(ln x) = 1/x
- Proof: d/dx(e^x) = e^x
- Proofs of Derivatives of Ln(x) and e^x
- Calculus: Derivative of x^(x^x)
- Extreme Derivative Word Problem (advanced)

Antiderivatives

This video introduces the anti-derivative and name it the indefinite integral.

This video consists of multiple examples of taking the anti-derivative.

This video presents the undoing of the chain rule.

This video presents another method of undoing the chain rule, by substitution.

This video presents undoing the product rule, or integration by parts.

This video presents a more thorough review of integration by parts.

Integrating exp(x) cos x by parts.

This video solves the problem of the integral of sin x / cos x*x