# Calculus: Antiderivatives (3)

Xuất bản 29/06/2016
Calculus: Antiderivatives. Antiderivatives of constant functions, power functions, cosine functions, sine functions, natural exponential functions, root functions, some rational functions, and inverse trigonometric functions; the antiderivative of 1/x. The constant multiple rule for antiderivatives; the sum rule for antiderivatives. Determining the constants in an antiderivative. Finding the position function from the velocity function This is a recording of a tutoring session, posted with the student's permission. These videos are offered on a "pay-what-you-like" basis. You can pay for the use of the videos at my website: http://www.freelance-teacher.com/videos.htm For a list of all the available video series, arranged in suggested viewing order, go to my website. For a document containing the video (3) homework problems, click here: http://www.freelance-teacher.com/antiderivatives_homework3.pdf TABLE OF CONTENTS VIDEO (1) Algebra Derivatives Antiderivatives Antiderivatives of constant functions Antiderivatives of power functions The constant multiple rule for antiderivatives The sum rule for antiderivatives The antiderivative of 1/x Antiderivatives of cosine and sine Antiderivative of the natural exponential function (e^x) Summary of antiderivatives so far VIDEO (2) Review Determining the constants Finding the position function from the velocity function VIDEO (3) 0:00 Review 6:30 Determining the constants 37:00 Finding the position function from the velocity function 41:10 Antiderivative of 1/x^n 48:50 Taking exponents on a calculator 56:20 Antiderivatives of root functions 1:03:40 Antiderivatives of some rational functions 1:23:00 Antiderivatives of inverse trig functions 1:34:10 Another way that antiderivative problems can be phrased VIDEO (4) Homework review tags: education college student students university exam test educational study campus school class
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