**Elementary Integrals**: power rule for x^n, trig
functions sin, cos, tan, exponential function e^{ax}, logarithmic function ln
x, and 1/(x^2+1)

**Integration Techniques**: Substitution, integration by
parts, partial fraction, complete squaring, binomial expansion (a+b)^n for n=2
and 3.

**Improper Integrals**: Convergence and divergence,
comparison tests, p-rule, dominating and dominated integrals

**Numerical approximation**: Riemann sums: left, right,
midpoint, trapezoid, Simpson’s rules; under/over approximation, approximation
errors

**Partial Review Problems**: All homework, quiz, lecture
example problems. **Page 369**: 1, 2, 5, 6, 7, 9, 11, 13—24, 34, 37.