Titlebook: Inside Interesting Integrals; A Collection of Snea Paul J. Nahin Textbook 20151st edition Springer Science+Business Media, LLC, part of Spr

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WATER

,Feynman’s Favorite Trick, the integral.where α is the so-called . of the integral (. the dummy variable of integration which is, of course, x), then we wish to calculate the derivative of I with respect to α. We do that in just the way you’d expect, from the very definition of the derivative:

DEBT

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,‘Easy’ Integrals,You should always be alert, when confronted by a definite integral, for the happy possibility that although the integral might look ‘interesting’ (that is, hard!) just . it will still yield to a direct, frontal attack. The first six integrals in this chapter are in that category. If a and b are positive constants, calculate:. and . and . and

ANN

Mortal

Seven Not-So-Easy Integrals,As I mentioned in the Preface, in 1697 John Bernoulli evaluated the exotic-looking integral

LATER

Using , to Evaluate Integrals,The use of . to compute integrals is nicely illustrated with a quick example. Let’s use . to do

Popcorn

Paul J. NahinA "recipe book" with many valuable little-known integration techniques.Written with an accessible and easy-to-follow style by acclaimed popular science author and engineering professor Paul Nahin.Incl

郊外

Undergraduate Lecture Notes in Physicshttp://image.papertrans.cn/i/image/467781.jpg

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https://doi.org/10.1007/978-1-4939-1277-3Differentiation Under the Integral; Dirichlet Integral; Euler Log-sine Integral; Feynman Integral; Integ