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Chapter 10: Q 0. (page 777)

Problem Zero: Read the section and make your own summary of the material.

Short Answer

Expert verified

The required summary of the section is as follows:-

Step by step solution

01

Step 1. Given Information

We have to write the summary of the section 5.1. Integration by Substitution.

02

Step 2. Summary of the section

The section 5.1. Integration by Substitution is the first section of the chapter 5. Techniques of integration.

Substitution is the one of the most popular technique of integration.

The summary of this section is as follows:-

We know that the integration is also known as anti derivative or reverse derivative.

In this section we firstly studied about how to undo the chain rule. That is reverse chain rule.

Here we have the following formula of integration to undo the chain rule.

If and are functions such that is integrable, then :-

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Most popular questions from this chapter

In Exercises 24-27, find compuv,projuv and the component of v orthogonal tou.

role="math" localid="1649693816584" u=3,1,-2,v=-6,-2,4

Calculate the limits in Exercises 25-28, using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.

localid="1648227587052" limx→032x2-4x+1.

In Exercises 36–41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

(c) The area of the triangle determined by the points.

P(3,1,8),Q(0,6,−1),R(−3,5,−3)

In Exercises 24-27, find compuv,projuv and the component of v orthogonal tou.

u=2,0,-5,v=-3,7,-1

In Exercises 22–29 compute the indicated quantities when u=(2,1,−3),v=(4,0,1),andw=(−2,6,5)

Find the area of the parallelogram determined by the vectors v and w.
See all solutions

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