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Chapter 5: Q.0 (page 416)

Read the section and make your own summary of the material.

Short Answer

Expert verified

The summary of the exercise.

Step by step solution

01

Introduction

The summary of the section about Algebra, Differentiation, Integration and expressing geometric interpretation into integration.

02

Explanation

Algebra: All the variables or functions consider under algebra. Any expression or equation is written in algebraic form. There are some formulas and identities to simplify the expression.

Differentiation: it is a process to find the instantaneous rate of change in function based on one of its variables. Reduce the whole function into small parts.

Integration or Antiderivative:It is adding or summarizing a small part of a function into a whole or complete function. It is the opposite process of differentiation.

Geometric Representation into Integration: In this process find the area of the geometry figure using integration. By adding a small part area to the complete area.

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Most popular questions from this chapter

Solve the integral: ∫xsinxdx

Solve∫x21+x2dx the following two ways:

(a) with the substitution u=tan-1x;

(b) with the trigonometric substitution x = tan u.

Solve ∫x+2x2+4x32dxthe following two ways:

(a) with the substitution u=x2+4x;

(b) by completing the square and then applying the trigonometric substitution x + 2 = 2 sec u.

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

Solve ∫1x2+9dx the following two ways:

(a) with the trigonometric substitution x = 3 tan u;

(b) with algebra and the derivative of the arctangent.
See all solutions

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