This application will introduce you to and walk you through all of the critical integration (or antiderivative) techniques and rules that you need to know and understand in order to master Calculus II (and learn to approach and solve problems requiring you to find integrals). The secret to antidifferentiation is learning all of the varied rules and techniques and getting a feel for how to recognize which one you should use in different situations. To this end, we'll cover the topic through a series of video lessons, each of which will cover pertinent ideas and related problems. The video content in this application will include a lesson on each of the following:* Using Integration by Parts Twice* Integration by Parts - Ex 1* Integration by Parts - Definite Integral* Integration by Parts - A Loopy Example!* Trigonometric Integrals - Part 1 of 6* Trigonometric Integrals - Part 2 of 6* Trigonometric Integrals - Part 3 of 6* Trigonometric Integrals - Part 4 of 6* Trigonometric Integrals - Part 5 of 6* Trigonometric Integrals - Part 6 of 6* A Basic Trigonometric Substitution Problem* Trig Substitution: Completing the Square Part 1/2* Trig Substitution: Completing the Square Part 2/2* Integration by Partial Fractions: Long Division* Integration by Partial Fractions: Coefficients* Integration by Partial Fractions: An Example* Partial Fractions and Rationalizing Substitutions* Approximating Integrals: Simpson's Rule* Approximating Integrals: Simpsons Rule Error Bound* Approximating Integrals: Trapezoid Rule* Improper Integral - Basic Idea and Example* Improper Integral: Infinite Discontinuity-Middle* Improper Integral: Infinite Discontinuity-Endpoint* Improper Integral: Infinity in Upper, Lower Limits* Improper Integral - More Complicated ExampleThis is one of several Calculus apps from me, PatrickJMT. I have been putting up math videos for a few years on YouTube and now have the most popular 'math only' channel on YouTube!, Affter much encouragement and many requests from my YouTube friends, I've finally decided to organize the videos and put them out as an App. I've been teaching math for >8 years at the college/university level and tutoring for over 20 years. In the past, I have taught at Vanderbilt University (a top 20 ranked university), the University of Louisville and at Austin Community College.
