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, Simpsonís rules; under/over approximation, approximation errors

 

Partial Review Problems: All homework, quiz, lecture example problems. Page 369: 1, 2, 5, 6, 7, 9, 11, 13ó24, 34, 37.