/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 8 Draw pictures illustrating the f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 8 (page 351)

Draw pictures illustrating the fact that if a鈮�c鈮�bthen

鈭�acf(x)dx+鈭�cbf(x)dx=鈭�abf(x)dx

Short Answer

Expert verified

The graphs are as follows

Step by step solution

01

Step 1. Given information

An identity is given as鈭�acf(x)dx+鈭�cbf(x)dx=鈭�abf(x)dx

02

Step 2. Graphs 

Draw the of individual functions and then compare them.

The first graph of f(x)=x2&from0鈫�0.5

Now the second graph of f(x)=x2&from0.5鈫�1

Last graph of f(x)=x2&from0鈫�1

From the above graphs we can conclude that

鈭�acf(x)dx+鈭�cbf(x)dx=鈭�abf(x)dx

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine which of the limit of sums in Exercises 47鈥�52 are infinite and which are finite. For each limit of sums that is finite, compute its value.

limn鈫�鈭�鈭�k=1nk2+k+1n

Prove that 鈭�13(3x+4)dx=20in three different ways:

(a) algebraically, by calculating a limit of Riemann sums;

(b) geometrically, by recognizing the region in question as a trapezoid and calculating its area;

(c) with formulas, by using properties and formulas of definite integrals.

Without using absolute values, how many definite integrals would we need in order to calculate the absolute area between f(x) = sin x and the x-axis on [-蟺2,2蟺]?

Will the absolute area be positive or negative, and why? Will the signed area will be positive or negative, and why?

What is the difference between an antiderivative of a function and the indefinite integral of a function?

Fill in each of the blanks:

(a) 鈭�dx=x6+C.

(b) x6 is an antiderivative of .

(c) The derivative of x6is .
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.