Tutorial ExerciseFind the indefinite integral by making a change of variables.(х + 6)5 —х dxStep 1We are given the following indefinite integral and are told to make a change of variables to find the integral.(х + 6)/5 - х dxIt is generally best to use a substitution u =is a square root in the second factor. Therefore, we can set u to be the quantity under the square root. Findg(x) for the inner part of a composite function. In this case, theredu.u = 5 – Xdu =dx

Given integration is : ∫x+65-xdx To find the value of given integral

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Find the indefinite integral by making a change of variables. |(x + 6)V5 - x dx

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

Chapter6: Rates Of Change

Section6.5: Equations Of Change: Graphical Solutions

Problem 7SBE: WaterWater flows into a tank, and a certain part of it drains out through a valve. The volume v in...

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Question

Tutorial Exercise
Find the indefinite integral by making a change of variables.
(х + 6)5 —х dx
Step 1
We are given the following indefinite integral and are told to make a change of variables to find the integral.
(х + 6)/5 - х dx
It is generally best to use a substitution u =
is a square root in the second factor. Therefore, we can set u to be the quantity under the square root. Find
g(x) for the inner part of a composite function. In this case, there
du.
u = 5 – X
du =
dx

Expert Solution

Step 1

Given integration is :

$\int (x + 6) \sqrt{5 - x} d x$

To find the value of given integral

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