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Interactive video lesson plan for: Antiderivatives - Trig & Exponential Functions, Fractions, Square Roots, Substitution - Calculus

Activity overview:

This calculus video tutorial shows you how to find the antiderivative or integral of a function. It explains how to find the antiderivative of trig functions, exponential functions, fractions, square roots, radical functions, and polynomial functions. It contains plenty of examples and practice problems for you to work on.

Here is a list of topics:
1. Antiderivatives - Definite Integral vs Indefinite Integral
2. Antiderivative F(x) vs f(x) - Derivative of F(x)
3. Differentiation vs Antidifferentiation / Integration
4. Polynomial Functions - X^2, x^3
5. Square Root Functions - sqrt(x)
6. Antiderivative of e^x, e^2x, and a^x - Exponential Functions
7. Antiderivative of Fractions - 1/x, 1/x^2, 1/(x+3)
8. Antiderivative of Trig Functions - sin(2x) and cos(2x)
9. Integration Techniques - Factoring, Foiling, Distributive Property, and Constant Multiple Rule
10. U-Substitution Example
11. Tan, Sec, Csc, and Cot Trigonometric Functions
12. Initial Condition and Particular Solution Problems
13. Finding the solution to the differential equation
14. Solving for the constant C - constant of integration
15. dx, dy, and dt
16. Finding the general solution f(x) given second derivative f''(x) and two points to find the constant C
17. Definite Integral Example - given upper and lower bound of integral

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