Unit 4 Introduction

This unit covers advanced integration techniques, methods for calculating the length of a curved line or the area of a curved surface, and "polar coordinates" which are an alternative to the Cartesian coordinates most often used to describe positions in the plane.

Part A

This part of the course describes how to integrate trigonometric functions, and how to use trigonometric functions to calculate otherwise intractable integrals.

» Session 68: Integral of sinⁿ(x) cos^m(x), Odd Exponents
» Session 69: Integral of sinⁿ(x) cos^m(x), Even Exponents
» Session 70: Preview of Trig Substitution and Polar Coordinates
» Session 71: Integrals Involving secant, cosecant and cotangent
» Session 72: Trig Substitution
» Session 73: Completing the Square
» Problem Set 9