# Calculus Videos: Integration

## Video Lectures

Displaying all 60 video lectures.
 Lecture 1 Play Video Summation Notation Lecture 2 Play Video The Definite Integral: Understanding the Definition Lecture 3 Play Video Approximating a Definite Integral Using Rectangles Lecture 4 Play Video Trapezoidal Rule to Approximate a Definite Integral Lecture 5 Play Video Simpson's Rule to Approximate a Definite Integral Lecture 6 Play Video Simpson's Rule and Error Bounds Lecture 7 Play Video Calculating a Definite Integral Using Riemann Sums (Part 1) Lecture 8 Play Video Calculating a Definite Integral Using Riemann Sums (Part 2) Lecture 9 Play Video Basic Integration Formulas Lecture 10 Play Video Basic Antiderivate Examples: Indefinite Integral Lecture 11 Play Video More Basic Integration Problems Lecture 12 Play Video Basic Definite Integral Example Lecture 13 Play Video Indefinite Integral: U-substitution Lecture 14 Play Video Definite Integral: U-substitution Lecture 15 Play Video More Integration Using U-Substitution (Part 1) Lecture 16 Play Video More Integration Using U-Substitution (Part 2) Lecture 17 Play Video Integration Involving Inverse Trigonometric Functions Lecture 18 Play Video Integration By Parts: Indefinite Integral Lecture 19 Play Video Integration By Parts: Definite Integral Lecture 20 Play Video Indefinite/Definite Integral Examples Lecture 21 Play Video Integration By Parts: Using IBP's Twice Lecture 22 Play Video Integration By Parts: A "Loopy" Example Lecture 23 Play Video Trigonometric Integrals: Part 1 of 6 Lecture 24 Play Video Trigonometric Integrals: Part 2 of 6 Lecture 25 Play Video Trigonometric Integrals: Part 3 of 6 Lecture 26 Play Video Trigonometric Integrals: Part 4 of 6 Lecture 27 Play Video Trigonometric Integrals: Part 5 of 6 Lecture 28 Play Video Trigonometric Integrals: Part 6 of 6 Lecture 29 Play Video Trigonometric Substitution (Part 1) Lecture 30 Play Video Trigonometric Substitution (Part 2) Lecture 31 Play Video Trigonometric Substitution (Part 3) Lecture 32 Play Video Trigonometric Substitution (Part 4) Lecture 33 Play Video Trigonometric Substitution (Part 5) Lecture 34 Play Video Partial Fractions: Decomposing a Rational Function Lecture 35 Play Video Partial Fractions: Coefficients of a Partial Fraction Decomposition Lecture 36 Play Video Partial Fractions: Problem Lecture 37 Play Video Partial Fractions: Problem Using a Rationalizing Substitution Lecture 38 Play Video Calculating Double Integrals Over Rectangular Regions Lecture 39 Play Video Calculating Double Integrals Over General Regions Lecture 40 Play Video Reversing the Order of Integration (Part 1) Lecture 41 Play Video Reversing the Order of Integration (Part 2) Lecture 42 Play Video Finding Areas in Polar Coordinates Lecture 43 Play Video Double Integral Using Polar Coordinates (Part 1) Lecture 44 Play Video Double Integral Using Polar Coordinates (Part 2) Lecture 45 Play Video Double Integral Using Polar Coordinates (Part 3) Lecture 46 Play Video Triple Integrals Lecture 47 Play Video Triple Integrals in Spherical Coordinates Lecture 48 Play Video Line Integrals Lecture 49 Play Video Solving First Order Linear Differential Equations Lecture 50 Play Video Finding Centroids/Centers of Mass (Part 1) Lecture 51 Play Video Finding Centroids/Centers of Mass (Part 2) Lecture 52 Play Video Improper Integrals: Introduction Lecture 53 Play Video Improper Integrals: Using L'Hospitals Rule Lecture 54 Play Video Improper Integrals: Infinity in the Upper and Lower Limit Lecture 55 Play Video Improper Integrals: Infinite Discontinuity at an Endpoint Lecture 56 Play Video Improper Integrals: Infinite Discontinuity in the Middle of the Interval Lecture 57 Play Video Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Horizontal Line Lecture 58 Play Video Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Vertical Line Lecture 59 Play Video Volumes of Revolution: Disk/Washer Method (cont.) Lecture 60 Play Video Work Problems: Finding the Work To Empty a Tank Full of Water