1. Power Rule and Substitution to find the anti derivative.

2. Power Rule Step 1: add one to the exponent Step 2: Divide the coefficient by the new exponent Step 3: Add a C Step 4: Simplify

3. Examples f(x)=4 F(x)=4x +c

4. Substitution You Should use substitution when you have a quantity raised to a power, or if you have a trigonometric value.

5. Steps for Substitution Steps – Set “u” equal to the quantity – Find du/dx – Manipulate it to match the original function – Substitute – Find the antiderivative in terms of u – Resubstitute for x

6. Example of Substitution