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

Integrate each function by using the table in Appendix $D$.If an electric charge $Q$ is distributed along a wire of length $2 a$ the force $F$ exerted on an electric charge $q$ placed at point $P$ is $F=k q Q \int \frac{b d x}{\left(b^{2}+x^{2}\right)^{3 / 2}} .$ Integrate to find $F$ as a function of $x$.

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 11

Integration by Use of Tables

Integrals

Campbell University

University of Nottingham

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

04:25

A thin rod carries charge …

01:17

(a) Make an appropriate u-…

07:57

A charged rod of length $ …

01:51

Integration by Tables In E…

(a) Make the indicated $u$…

07:34

Use substitution to expres…

02:10

Evaluate each definite int…

01:40

02:41

03:11

So here on this problem we are given that the force exerted on a charge Q. Placed at a point P. Is given by if recalls to three times few times capital Q integration B D X divide by be square less X square. Hold the power 3/2. Now we have to find this F as a function of X. Now simply we have to integrate this and to integrate this, we're going to use one formula which is given in the appendix T. And the formula is integration. Do you over you square plus a square. Hold the power 3/2 as equals two. You divide by a square. Underwrote you square plus a square and plus C. So this is a formula going to use. And if you compare the formula with the given in trouble we can say that we have U. Is equal to X. And do you will be equals two dx. And we have equals to be. So we plug the village here. Now you we have ex divide by a square means be square. Under route you square, S. X. Square and a square means be square plus seat. Now this constant will remain as it is, so we can put outside the bracket. So distinct. So this is the final solution for the given problem. That is the value of F. In terms of X. So I hope you have understood the problem. Thank you.

View More Answers From This Book

Find Another Textbook

Numerade Educator

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…

A thin rod carries charge $Q$ distributed uniformly over its length $L$ and …

(a) Make an appropriate u-substitution, and then use the Endpaper Integral T…

A charged rod of length $ L $ produces an electric field at point $ P(a, b) …

Integration by Tables In Exercises 3 and 4 use a table of integrals with for…

(a) Make the indicated $u$ -substitution, and then use the Endpaper Integral…

Use substitution to express each of the following integrals as a multiple of…

Evaluate each definite integral. Use the integration feature of agraphin…

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.