Question: a. Find x 2 ln 2x dx. b. Hence show that the exact value of 3 1 x 2 ln 2x dx is

a. Find ∫ x2 ln 2x dx.

b. Hence show that the exact value of ∫31 x2 ln 2x dx is 9 ln 6 − 215/72.

Step by Step Solution

★★★★★

3.48 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a 1 sin 2x 1 2 sin 2x s... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

Q:

Cost of goods sold Selected financial data for Amberjack Corporation follows. Sales Year 2 ($ thousands) 465,381 347,324 Year 1 ($ thousands) 277,161 255,211 Net income (161,064) (404,109) Cash flow...

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Q:

Find the exact value of each expression. 1. (a) log5 125 (b) log3 (1/27) 2. (a) log2 6 - log2 15 + log2 20 (b) log3 100 - log3 18 - log3 50

Q:

Refer to Problem Show that the exact annual compound rate of growth of an investment that doubles in n years is given by r= 100 (21/n - 1). Graph this equation and the rule of 72 on a graphing...

Q:

1 Multivariable functions and vector geometry Due date and time: Wednesday, June 7th at 9:30 AM in lecture Please ensure that you have read and understood the document \"Homework Guidelines" on the...

Q:

Legibly Printed Family/Last Name: Legibly Printed Given/FirstName: Signature: M119 Seat number: EXAM 3 14th April 2015 READ THIS: For each of the problems that begin on the next page, find the one...

Q:

MATH-1326-THQ 7, 2016-02-29 11:39 (Printed First Name) (Printed Last Name) XXX0000 Net ID (First Letter of Last Name) 001 - 503 Section Take Home Quiz 7 Penalty Instructions 1. Fill in the requested...

Q:

(a) Find the Maclaurin series for the function f(x)= 1 f(x) = - f(x)= 1+x. 1 X - 1 1 + x (b) By integrating both sides of the Maclaurin series for 1+x show that the Maclaurin series for the function...

Q:

please help 8.4 Area Between Curves (dx) Name Mastery Check #1 Calculus - Calculator Allowed Date: Period: Find the area of the region bounded by the following curves. Show the integral set up, then...

Q:

Use the following to answer questions 1-4. Decide whether each of the following satisfies the differential equation- 9 y = 0? Question1. y = e 3 x Answers A. True B. False Question2. y = e 3 x...

Q:

Quarter 2 AICE math Problem Set Show complete work to earn full credit. This will be graded like an AICE exam. 1)Given that the coefficient of x2 in the expansion of (a + 2x ) is 30, find the value...

Q:

If planning is so crucial, why do some managers choose not to do it? What would you tell these managers?

Q:

a. From the information given here determine the 95% confidence interval estimate of the population mean. x = 100 = 20 n = 25 b. Repeat part (a) with x = 200. c. Repeat part (a) with x = 500. d....

Q:

Treasury bond futures trade on the New York Stock Exchange. true or false

Q:

What do you consider your most valuable assetthe thing that enabled you to make it?

Q:

Several decades ago a large proportion of Americans smoked cigarettes. However, in recent years many adults have quit. To measure the extent of current smoking a random sample of American adults was...

Q:

Wages and salaries make up only part of a total compensation. Other parts include paid leave, health insurance, and many others. In 2013, wages and salaries among manufacturers in the United States...

Q:

In 2015, there were 124,587,000 (Source: United States Census) households in the United States. There were 81,716,000 family households made up of married couples, single male, and single female...

Q:

x O (3) 90 Minute Skate Se t, Accounting Principles, Seventh Canadian Edition, Volume 1 At the beginning of June 2017, Flint Distributing Company's ledger showed Cash $17,000, une 1 Purchased $9,100...

Q:

Codification to identify accounting authority: a. accounting for prepaid advertising b. accounting for reclassification of current to long-term debt c. accounting for accelerated depreciation d....

Q:

Casey Nelson is a divisional manager for Pigeon Company. His annual pay raises are largely determined by his division's return on Investment (ROI), which has been above 24% each of the last three...