Find the indefinite integral.dx- 8Step 1In this situation, finding the indefinite integral is most easily achieved using the method of integration bysubstitution.The first step in this method is to let u =function" of a composite function f(g(x)).g(x), where g(x) is part of the integrand and is usually the "insideFor the given indefinite integraldx, observe that the integrand involves the function x58. This isx5- 88, then g'(x) will involve a term containing x“,not a composite function, but we note that if we let g(x)which will allow us to easily write the integral in terms of only u after the substitution.Therefore, we will choose u =x5.8Step 2The next step is to find du = g'(x) dx. First find g'(x).g(x)= X- 8g'(x)Therefore, we have the following.du =dx

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Answered: Find the indefinite integral. dx 8.

Math

Calculus

Find the indefinite integral. dx 8.

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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