Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose that F(x) and G(x) are antiderivatives of f(x) and g(x) respectively, and that c is a constant. Then: (a) A constant factor can be moved through an integral sign; that is, | cf (x) dx = cF(x)+ C. %3D (b) An antiderivative of a sum is the sum of the antiderivatives; that is, S(2) + g(x)] dx = F(x)+ G(x)+C. %3D (c) An antiderivative of a difference is the difference of the antiderivatives; that is, |Is(2) – 9(æ)] de = F(#) – G(æ) + C. - 9(x)] %3D x"+1 The power rule: / x" dx + C,r + -1. r +1 NOTE: Enter the cxact answer. dx 9x+ 6x3 +C
Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose that F(x) and G(x) are antiderivatives of f(x) and g(x) respectively, and that c is a constant. Then: (a) A constant factor can be moved through an integral sign; that is, | cf (x) dx = cF(x)+ C. %3D (b) An antiderivative of a sum is the sum of the antiderivatives; that is, S(2) + g(x)] dx = F(x)+ G(x)+C. %3D (c) An antiderivative of a difference is the difference of the antiderivatives; that is, |Is(2) – 9(æ)] de = F(#) – G(æ) + C. - 9(x)] %3D x"+1 The power rule: / x" dx + C,r + -1. r +1 NOTE: Enter the cxact answer. dx 9x+ 6x3 +C
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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