1. Before we start the lesson
You are either correcting
homework or
working on PS 32

2. Anti-Derivatives and Indefinite Integrals
Lesson 32
Anti-Derivatives
and Indefinite Integrals

3. The anti-derivative of f(x)
We can now take the derivative of some functions
Polynomials
Cosine and Sine
Exponential and Logarithm functions
Products of differentiable functions
We will take anti-derivatives of these functions
F(x) is an anti-derivative of f if F'(x) = f(x)

4. The formula for an antiderivative of xn

5. Which of the following is an antiderivative of x2?
Take the derivative of each of the functions above; is it x2 for any?
b, c, d should all
be answers to the question!

6. There is no such thing as "the" antiderivative

7. The indefinite integral

8. The Formula

9. What is the form of the function whose derivative is cos(x)
On your white board!!!
What is the form of the function whose derivative is cos(x)