Books

MIT OpenCourseWare

Browse materialsMIT 18.01SC · 4. Techniques of Integration

Single Variable Calculus — 4. Techniques of Integration

Subjects: Calculus · Mathematics

Art: Anonymous painter,15th century, Westerner and Arab practicing geometry 15th century manuscript, 15th… · Public domain

About this course

Source: MIT OpenCourseWare 18.01SC Single Variable Calculus, Fall 2010, Prof. David Jerison — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: this unit's sessions in MIT's listing order. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

Instructor
Prof. David Jerison
Term
Fall 2010
Level
Undergraduate
What's inside
69 videos · 36 other files
Materials open
Videos here · files on MIT OCW
Other versions of this course

Start here

Start course: Clip 1: Review of Trigonometric IdentitiesFind a topic

Progress is saved in this browser.

Export or import progress

Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

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
Session 74: Integration by Partial Fractions
Session 75: Advanced Partial Fractions
Session 76: Integration by Parts
Session 78: Computing the Length of a Curve
Session 79: Surface Area
Problem Set 10
Session 80: Parametric Curves
Session 81: Examples Using Parametrized Curves
Session 84: Polar Coordinates and Graphing
Problem Set 11
Session 86: Materials for Exam 4