Evaluate x dx x 2 4 in two ways using the direct substitution u x 2 4 and by trigonometric substitution ...

Let ux4 Then du 2x dx and dx du S xx 12 S 1 12 24 C u C x 4 C Vu To use tr ...

Evaluate x dx/x 2 4 in two ways: using the direct substitution u = x 2

Question:

Evaluate ∫x dx/√x²− 4 in two ways: using the direct substitution u = x² − 4 and by trigonometric substitution.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Dec 01, 2023 08:03 AM

See More Questions

Is the substitution u = x2 4 effective for evaluating the integral If not, evaluate using trigonometric substitution. s x dx x-4 -?
The Kraft bond is a 17-year zero-coupon bond. If the YTM for this bond is 3%, what is the value of the bond? Assume semiannual compounding. A. $623.17. B. $605.02. C. $602.77. D. $620.86.
Evaluate sin x cos x dx by four methods: (a) The substitution u = cos x, (b) The substitution u = sin x, (c) The identity sin 2x = 2 sin x cos x, and (d) Integration by parts. Explain the different...
Daniel agreed to erect an apartment building for Steven for $12 million and that Daniel would suffer a deduction of $12,000 per day for every day of delay. Daniel was twenty days late in finishing...
Refer to all of the facts in Exercise 5-17. Masthead Companys comparative balance sheets included inventory of $180,400 at December 31, 2009, and $241,200 at December 31, 2010. Mastheads comparative...
Invertible Matrix Method Use the inverse rnatrix found in Problem 6 to solve the system x1 + 3x2 = -4, 2x1 + 5x2 = 10.
4. Estimate a GARCH(1,1) for the S&P 500 index, using data from January 1999 to December 2003.
The partnership of Matteson, Richton, and OToole has existed for a number of years. At the present time the partners have the following capital balances and profit and loss sharing percentages:...
Roberto and Reagan are both 25 percent owner/managers for Bright Light Incorporated, Roberto runs the retail store in Sacramento, California, and Reagan runs the retail store in San Francisco,...
Evaluate using the substitution u = 1 x 2 or trigonometric substitution. X (a) S - dx V1-x (c) fx T x1-x dx (b) (d) fx-xdx 1 - x dx A S 1 x dx
Use the indicated substitution to evaluate the integral. So 10 dx (4 + 4x) x = tan 0
Choose an important current public health problem. In addressing this problem, think about which disciplines outside of the health sector might be important for addressing the issue.
Verify the results of Eq. (14.48) for the properties of the chiral projection operators. Data from Eq. 14.48 P = P+ P+ + P = 1 P_P+ P+P = 0 Py" = y P
Prove that the estimating equations in (11.13) are unbiased under MCAR, but are generally biased without the stringent MCAR assumption. (x) [y - f (xt;)] = 0, i=1 (11.13)
Refer to Figure 11.5: Which is the most expensive subcontract for this project? How much were the costs for the general contractor's crews for item 4? Figure 11.5 Division 1 2 3 4 5 6 7 Work Gen'l...
a. Using observations on the change in consumption $D C_{t}=C_{t}-C_{t-1}$ and the change in income $D Y_{t}=$ $Y_{t}-Y_{t-1}$ from 1959Q3 to 2015Q4, obtained from the data file cons_inc,...
Water at $20^{\circ} \mathrm{C}$ flows by gravity from a large reservoir at a high elevation to a smaller one through a 35-m-long, 5-cm-diameter cast iron piping system that includes four standard...
The multiple linear regression model y = 0 + 1x1 + 2x2 is fitted to a data set with n = 20 observations, and the parameter estimates ^0 = 104.9, P\ = 12.76, and ^1 = 409.6 are obtained. (a) What is...
Which task is performed by a book-keeper? A. Analysing the trading results B. Entering transactions in the ledger C. Preparing year-end financial statements D. Providing information for...
In problem, find the quadratic function for which: Vertex is (3, -4); contains the point (4, 2)
Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is R(p) = -4p 2 + 4000 p (a) At what prices p is revenue zero? (b)...
A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t) = 96t 16t 2 . (a) At what time t will...
Flexible manufacturing places new demands on the management accounting information system and how performance is evaluated. In response, a company should a. institute practices that reduce switching...
Revenue and expense items and components of other comprehensive income can be reported in the statement of shareholders' equity using: U.S. GAAP. IFRS. Both U.S. GAAP and IFRS. Neither U.S. GAAP nor...
Kirk and Spock formed the Enterprise Company in 2010 as equal owners. Kirk contributed land held an investment ($50,000 basis; $100,000 FMV), and Spock contributed $100,000 cash. The land was used in...

Evaluate x dx/x 2 4 in two ways: using the direct substitution u = x 2

Question:

Step by Step Answer:

Let ux4 Then du 2x dx and dx du S xx 12 S 1 12 24 C u C x 4 C Vu To use tr...View the full answer

Calculus

Students also viewed these Mathematics questions