## Techniques of Integration

**Introduction**

**Integration by Substitution**

**More Substitutions**

**Drill Problems Using Substitution**

**50 Question Quiz on Substitution**

**Integration by Parts**

**Drill Problems for Integration by Parts**

**Partial Fractions**

**Drill Problems for Partial Fractions**

**Numerical Integration Techniques**

**Numerical Integration Error Bounds**

**Improper Integrals (Unbounded Intervals)**

**Improper Integrals (Functions w/Discontinuities)**

**AP Calculus (BC) Topics**

III.

**Integrals**

B.

**Techniques of Antidifferentiation.**Antiderivatives following from derivatives of basic functions. Antiderivatives by substitution of variables (including change of limits for definite integrals), parts, and simple partial fractions (nonrepeating linear factors only).

C.

**Fundamental Theorem of Calculus**. Use the Fundamental Theorem to evaluate definite integrals. Use the Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined.