Question: If k > 0, show that 8 [ k x(ln x)k+1 dx = 1.

If k > 0, show that8 [ k x(ln x)k+1 dx = 1.

8 [ k x(ln x)k+1 dx = 1.

Step by Step Solution

★★★★★

3.49 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

e dx lim fb dx k be xlnx1 k ... 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 Applied Calculus Questions!

Q:

A body falling vertically under gravity encounters resistance of the atmosphere. If the resistance varies as the velocity, show that the equation of motion is given by du g-ku dt where u is the...

Q:

The following transactions appeared in the accounting records of GT during the year. Stella comes to your office and wants to understand how we should be entering these into the accounting system for...

Q:

The following data show the curb weight, horsepower, and -mile speed for 16 popular sports and GT cars. Suppose that the price of each sports and GT car is also available. The complete data set is as...

Q:

Particles of masses m, 2m, 3m ... nm are collinear at distances L, 2L, 3L ... nL, respectively, from a fixed point. Locate the centre of mass from the fixed point. 57 A semicircular disc of radius R...

Q:

Name: ________________________ Class: ___________________ Date: __________ Final Exam for Math 193 1. a) Evaluate the integral. 20xe 5x dx b) Evaluate the integral. 81 t ln tdx 1 c) Evaluate the...

Q:

The Swim Wear Store sells bathing caps. As the store does not sell a lot of them, such that ordering them periodically during the year when they run out has been the method of restocking. The store...

Q:

In Ercn'isr's 1 through fimctirm. 1 fix) = 05" fl 4rl'+] 2 f(.r) = 96 3. fix) = xe" 4- fb') = x 5. = 30 + log-ODSJ' 6 f(.r) = grimm "'i 40 xx' "(My e l "'ic . ; i ' fl" II and Lmh ll' ) is g...

Q:

A real-valued N-point sequence x(n) is called DFT bandlimited if its DFT X(k) = 0 for k 0 ? k ? N ? k 0 . We insert (L ? 1)N zeros in the middle of X(k) to obtain the following LN-point DFT Explain...

Q:

Math 122 - Fall 2017 - Homework - Chapter 6 Give complete, well written solutions to the following exercises: sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m 1. (30 points) Evaluate...

Q:

Do not answer problem 7, it is only here for reference Continuation of problem already given code, just modify it %%%%%%%%%%%%%%%%%%%%% compute spline coefficients here %%%%%%%%%%%%%%% format long e...

Q:

DataCloud purchased all of the shares of Supercore for $25 million in cash. Supercore has no previously unreported identifiable assets or liabilities. The balance sheets of DataCloud and Supercore...

Q:

The following scheme is adapted from the total synthesis of EBC-23 by Williams and co-workers. i) n-BuLi TMSO S. S. ii) ? TMS 2 3 4 | iv) v) NABH4 Et,BOMe TSOH 12 12 7 6 5 b) Identify two types...

Q:

23. LO.2, 5 What accounting method (cash or accrual) would you recommend for the following businesses? a. A gift shop with average annual gross receipts of $900,000. b. An accounting partnership with...

Q:

=+Your sister is considering a proposal to increase net income by offering sales discounts of 2/15, n/30, and by shipping all merchandise FOB shipping point. Currently, no sales discounts are allowed...

Q:

An article in Quality Engineering [A Comparison of Multi-Response Optimization: Sensitivity to Parameter Selection (1999, Vol. 11, pp. 405415)] conducted a half replicate of a 2 5 factorial design to...

Q:

An article in Industrial and Engineering Chemistry [More on Planning Experiments to Increase Research Efficiency (1970, pp. 6065)] uses a 252 design to investigate the effect on process yield of A =...

Q:

Suppose that in Exercise 14-16 only a fraction of the 2 5 design could be run. Construct the design and analyze the data that are obtained by selecting only the response for the eight runs in your...

Q:

1.)The We Like Chicken Company raises chickens from hatching until they become productive hens. The company is preparing financial statements for its first year of operations and has come to you for...

Q:

Financial reporting question on IAS 2 Posh Limited has the following units in inventory at the end of 2019. Units Cost per unit (GH) Raw materials 5,000 25 Work in progress 2,000 30 Finished goods...

Q:

On January 1 , InnoSolutions, Inc. Issued $220,000 in bonds at face value. The bonds have a stated interest rate of 7 percent. The bonds mature in ten years and pay Interest once per year on December...