Find xdx/(x2 + 9) by (a) An algebraic substitution and (b) A trigonometric substitution. Then reconcile

Question:

Find ∫ xdx/(x2 + 9) by
(a) An algebraic substitution and
(b) A trigonometric substitution. Then reconcile you answers.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 10:22 AM

See More Questions

Evaluate in two ways: using partial fractions and a trigonometric substitution. Reconcile your two answers. dx for x > 1, x 1
(a) Use trigonometric substitution to show that dx/(x2+a2) = ln(x+(x2+a2) + C (b) Use the hyperbolic substitution to show that dx/(x2 + a2) = sinh-1(x/a) + C These formulas are connected by formula...
Find the eigenvalues, eigenspaces, algebraic and geometric multiplicities for A =
With the company expanding into several new markets in the coming months, Cable & Moore was anticipating a large increase in sales revenue. The future looked bright for this provider of...
A food company wanted to know if the amount of taste enhancer added to one of its products has any effect. It ran a test by adding eight different amounts and asking a panel of tasters to rank the...
Harry Hype has $5,000 to spend on advertising a new kind of dehydrated sushi. Market research shows that the people most likely to buy this new product are recent recipients of M.B.A. degrees and...
A distillation tower with sieve trays is to separate benzene from mono-chlorobenzene. Conditions at a plate near the bottom of the column are: Vapor Phase Mass flow rate \(=24,850 \mathrm{lb} /...
What is the justification for the following deviations from recognizing revenue at the time of sale? (a) Installment sales method of recognizing revenue. (b) Recognition of revenue at completion of...
You have developed a policy and documented it in conjunction with program team members. Should you test or trial the policy?
Goldstar Communications was organized on December 1 of the current year and had the following account balances at December 31, listed in tabular form: Early in January, the following transactions...
The region of Problem 27 is revolved about the y-axis. Find the volume of the resulting solid. In problem 27 The region bounded by y = 1/(x2+2x+5), y = 0, x = 0, and x = 1, is revolved about the...
Two circles of radius b intersect as shown in Figure 6 with their centers 2a apart (0 ¤ a ¤ b). Find the area of the region of their overlap. -a
Forecasters predictions of inflation are notoriously inaccurate, so their expectations of inflation cannot be rational. Is this statement true, false, or uncertain? Explain your answer.
Reconsider the experiment in Problem 5-22. Use the Box-Cox procedure to determine if a transformation on the response is appropriate (or useful) in the analysis of the data from this experiment....
How does the tax depletion of leasehold costs differ from successful efforts or full cost depletion? Include in your answer a discussion of the reserves used (proved reserves or proved developed...
How does amortization of drilling costs differ under the three methods? Include in your answer a discussion of the method used, which reserves are used, if any, and which drilling costs are...
In the grill defects experiment described in Problem 8-29, a variation of the square root transformation was employed in the analysis of the data. Use the Box-Cox method to determine if this is the...
[. . .] not all companies succumb to corruption. The Swedish furniture retailer IKEA has steadfastly refused to bribe Russian officials. 2 ALEXANDER HILL, PRESIDENT EMERITUS OF INTERVARSITY CHRISTIAN...
For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constant rate of 2,500 per year for 5 years. What is the output in the year 12 years...
The comparative statements of financial position of Menachem NV at the beginning and end of the year 2019 appear below. Net income of ¬34,000 was reported, and dividends of ¬23,000 were paid...
Use a computer algebra system to draw a direction field for the given differential equation. Get a printout and sketch on it the solution curve that passes through. Then use the CAS to draw the...
Use a computer algebra system to draw a direction field for the given differential equation. Get a printout and sketch on it the solution curve that passes through. Then use the CAS to draw the...
Use a computer algebra system to draw a direction field for the given differential equation. Get a printout and sketch on it the solution curve that passes through. Then use the CAS to draw the...
4.5. Multiplication in GF(24): Compute A(x)-B(x) mod P(x) in GF(24) using the irreducible polynomial P(x) = x++x+1. What is the influence of the choice of the reduction polynomial on the computation?...
Write a C++ program that calculates the volume of a cylinder. Define appropriate variables for the diameter and the height of the cylinder. Assuming the units of these variables are in inches,...
a. Show the d and values that result from running breadth-first search on the directed graph of Fig 1, using vertex A as the source. (Ascending Order) b. Show the d, f and values that result from...

Find xdx/(x2 + 9) by (a) An algebraic substitution and (b) A trigonometric substitution. Then reconcile

Question:

Step by Step Answer:

a u x 2 9 du 2x dx ln x2 9 C ln ...View the full answer

Calculus

Students also viewed these Calculus questions