Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Make the given changes in the indicated examples of this section and then solve the resulting problems.In Example $4,$ change $x=1$ to $x=2$ and $x=2$ to $x=3$. Note that the result added to the result of Example 4 is the same as the result for Exercise 3.

Calculus 1 / AB

Chapter 25

Integration

Section 3

The Area Under a Curve

Integrals

Missouri State University

University of Nottingham

Idaho State University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:42

If the exercise is an equa…

05:40

Solve. See Example 2.$…

00:37

Solve and check: $-1+3(x-4…

01:03

02:53

01:25

Solve the equations (In th…

00:27

In Exercises 109–112, dete…

01:00

Solve each equation. See E…

03:17

Solve each equation by usi…

01:47

Perform the operations. Se…

Okay, so we're looking at this function F of x is equal to X to the third and we're going to integrate it from x is equal to two, two. X is equal to three. So let's set up the integral, we're going from 2 to 3 so those are going to be our bounds and then we're integrating ex a third and we have the dx. And so the integral of X to the third is just X to the fourth, divided by four. And then we have plus C. And the reason for this being the integral is if we took the derivative of X the fourth divided by four, you bring down this four, four divided by four is one and then we minus one to the exponents would be left with extra third original function F of X. So now we just need to um look at the values from X is equal to two and three and we can ignore C. In this case we have extra four threaded by four From 2 to 3. And so in X is equal to two, we have two to the fourth which is the same as four squared, which is 16 divided by four. So we have four when X is equal to two and then when X is equal to three we have three to the fourth, which is the same as nine squared. So this is 81 divided by four minus four, so four is equal to 16 divided by four. So we're really just going to have 81 minus 16 which is equal to 65 divided by four, So this is equal to 65 divided by four.

View More Answers From This Book

Find Another Textbook

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

If the exercise is an equation, solve it and check. Otherwise, perform the i…

Solve. See Example 2.$$\frac{2}{x}+\frac{3}{x-1}=1$$

Solve and check: $-1+3(x-4)=2 x .$ (Section 1.2 , Example $2)$

Solve. See Example 2.$$\frac{3}{x}+\frac{4}{x+2}=2$$

Solve the equations (In these exercises, you'll need to multiply both s…

In Exercises 109–112, determine whether each statement makes sense or does n…

Solve each equation. See Examples 1 and $2 .$$$-3 x+1=-2(4 x+2)$…

Solve each equation by using the alternative technique that is discussed fol…

Perform the operations. See Example 4.$$(3 x+4)(2 x-2)-(2 x+1)(x+3)<…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.