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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 36鈥�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(2,鈭�5,1),Q(鈭�4,5,8),R(鈭�1,鈭�5,3)

Sketch the parallelogram determined by the two vectors (1,2)and (3,鈭�1). How can you use the cross product to find the area of this parallelogram?

In Exercises 37鈥�42, find v and find the unit vector in the direction of v.

v=1,1,1

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

role="math" localid="1649400253452" (u脳v)脳wandu脳(v脳w)

What is Lagrange鈥檚 identity? How is it used to understand the geometry of the cross product?
See all solutions

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