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Evaluate f 2x dx 2-1 Solution Steps Rewrite rational expression to exponential expression to make the function integrable. Find two functions within the integrand that forms a function-derivative pair to do so, we find an "inne function" with its derivative being multiplied outside of it. 3.) Next that we need is to have a simplified integrant, which is now all in terms of u, no x variables at all. = x² – 1, du : S(x? – 1) x 2xdx = 2xdx du n+1

Evaluate f 2x dx 2-1 Solution Steps Rewrite rational expression to exponential expression to make the function integrable. Find two functions within the integrand that forms a function-derivative pair to do so, we find an "inne function" with its derivative being multiplied outside of it. 3.) Next that we need is to have a simplified integrant, which is now all in terms of u, no x variables at all. = x² – 1, du : S(x? – 1) x 2xdx = 2xdx du n+1

Calculus: Early Transcendentals
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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What I have Learned Fill the blank with the correct steps or solution. 2x =dx Evaluate f Solution Steps Rewrite rational expression to exponential expression to make the function integrable. Find two functions within the integrand that forms a function-derivative pair to do so, we find an "inner function" with its derivative being multiplied outside of it. 3.) Next that we need is to have a simplified integrant, which is now all in terms of u, no x variables at all. 1.) 2.) Let u = x2 - 1, du = 2xdx S(x? – 1) x 2 xdx du 4.) Integrating by integral formula fu"du = un+1 %3D + C.Then, n+1 simplify the numerical coefficient. The original equation never had a "u", the original question has x's. 5.) To find the final answer, substitute u = x2- 1 . %3D
Transcribed Image Text:What I have Learned Fill the blank with the correct steps or solution. 2x =dx Evaluate f Solution Steps Rewrite rational expression to exponential expression to make the function integrable. Find two functions within the integrand that forms a function-derivative pair to do so, we find an "inner function" with its derivative being multiplied outside of it. 3.) Next that we need is to have a simplified integrant, which is now all in terms of u, no x variables at all. 1.) 2.) Let u = x2 - 1, du = 2xdx S(x? – 1) x 2 xdx du 4.) Integrating by integral formula fu"du = un+1 %3D + C.Then, n+1 simplify the numerical coefficient. The original equation never had a "u", the original question has x's. 5.) To find the final answer, substitute u = x2- 1 . %3D
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