Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you might need to manipulate the function into a form that is easier to integrate. (a) √(x − 1)(x − 2) da - (b) / ( 1/2 + 1)² (©) f (² [ dt (π + x)√x dx Problem 5. Suppose that F and G are antiderivatives of f and g, respectively. Show that, in general, there is no "product rule" for integrals of the type S using a counter example. That is, pick (simple!) ƒ and g and show that the inequality above holds. f(x)g(x) dx ‡ F(x)G(x) + C

Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you might need to manipulate the function into a form that is easier to integrate. (a) √(x − 1)(x − 2) da - (b) / ( 1/2 + 1)² (©) f (² [ dt (π + x)√x dx Problem 5. Suppose that F and G are antiderivatives of f and g, respectively. Show that, in general, there is no "product rule" for integrals of the type S using a counter example. That is, pick (simple!) ƒ and g and show that the inequality above holds. f(x)g(x) dx ‡ F(x)G(x) + C

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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