Ranked #1
Integration by substitution quiz
Integration by substitution quiz
This video contains 10 integrals. Nine may be performed using integration by substitution once the appropriate pattern h... Read more
25 Jan 2013
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Ranked #2
Integrals of powers of the secant function
Integrals of powers of the secant function
In this video two integrals are calculated: the cube of the secant function and the secant function raised to the fourth... Read more
13 May 2013
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Integral of secant function
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This video shows how to integrate the secant function. It also hints at an extension exercise. [Released under Creative... Read more
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This screen capture video discusses the integration of the inverse trigonometric functions. [Released under Creative C... Read more
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Trigonometric substitution example
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In this video arctan((1+x)/(1-x)) is differentiated in two ways. The initially surprising result that its derivative is ... Read more
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This video introduces and derives the technique of integration by parts. An example is calculated and a rule for selecti... Read more
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Piecewise definite integral example
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This screen capture video shows the calculation of a definite integral where the integrand is defined in a piece-wise fa... Read more
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This video is an example of a sine substitution. The integrand contains the square root of 7 - 4 x^2 so that some care n... Read more
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Riemann integral
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This video discusses the definite integral understood as a sum of rectangles. This is called the Riemann integral and a ... Read more
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This screen capture video consists of five exercises using the rules of differentiation. Full solutions are provided. [... Read more
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Careers in Mathematics: Luke Brassington
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Maclaurin series quiz
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Trigonometric change of variable quiz
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This screen capture video contains integrals for you to calculate using trigonometric changes of variables. Full solutio... Read more
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36mins
