Let I = dx/x 2 4x + 8. (a) Complete the square to show that x
Question:
Let I = ∫dx/√x2 − 4x + 8.
(a) Complete the square to show that x2 − 4x + 8 = (x − 2)2 + 4.
(b) Use the substitution u = x − 2 to show that I =du/√u2 + 22. Evaluate the u-integral.
(c) Show that I = ln Ι√(x − 2)2 + 4 + x − 2Ι + C.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
a Completing the square we get b Let u x 2 Then du d...View the full answer
Answered By
Akash Goel
I am in the teaching field since 2008 when i was enrolled myself in chartered accountants course
Since then i have an experience of teaching of class XI, XII, BCOM, MCOM, MBA, CA CPT.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
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...
-
find one example from the news media that you can link --either videos, podcasts, articles, reports, television broadcasts, etc.--that exhibit what you take to be a valid and sound deductive argument.
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-4. Ivan and Irene paid the following in 2012 (all by check or can otherwise be...
-
On 1 June 2019, Manchester United Ltd bought 48 million ordinary shares in Chelsea FC Ltd paying GHS 280 million cash. The summarised statement of financial position for the two entities as at 31...
-
The following information was summarized from the 2009 annual report of Wal-Mart Stores, Inc. and Subsidiaries: (in millions) Cost of sales for the year ended January 31: 2009 .....................
-
Aircraft Assemblies, Inc., manufactures clamps used in the overhead bin latches of several leading airplane models. Scott Sykes, president of Aircraft Assemblies, Inc., has gathered the following...
-
1. Your instructor will divide the class into teams and assign each team the task of investigating the start-up of one of the following businesses: a. Submarine sandwich shop b. Day care service c....
-
Knott Radio Corporation is a subsidiary of Mercer Companies. Knott makes car radios that it sells to retail outlets. It purchases speakers for the radios from outside suppliers for $28 each....
-
35. Expandiendo e sin en serie de Fourier en wt, mostrar que la ecuacin trascendedente de Kepler tiene la solucin formal: = wt+Jn(ne) sin (wt), n=1 n 2 donde J, es la funcin de Bessel de orden n....
-
Evaluate the integral by completing the square and using trigonometric substitution. S dx x + 4x + 13
-
(a) Using a trigonometricsubstitution, compute the integral and show that for a > 0 (b) Verify the formula via differentiation. dx 1 1 S (8 + 6) = 26 ( x + a + tan- x) + C - a
-
Suppose you observe the following situation: State of Probability Return if State Occurs Economy of State Stock A Stock B...
-
Mickley Company's plantwide predetermined overhead rate is $24.00 per direct labor-hour and its direct labor wage rate is $16.00 per hour. The following information pertains to Job A-500: Direct...
-
is unamortized discount on bonds payable a current liability or a long-term liability on the balance sheet?
-
a process to help you better understand your entity's fraud exposure, the associated risks and the strength of your existing controls. A good fraud risk assessment helps you specifically identify how...
-
The largest species of jellyfish is a lions mane jellyfish. One particular specimen has a diameter of 1.62 m in tentacles are 29 m long. The specimen weighs 100 kg in can travel at the speed of 1.19...
-
Explain the data used in the estimation of asset acquisition such as- I. current maintenance contracts II. estimates and quotations from suppliers III. previous contracts and costs.
-
What is the primary goal of financial management? A) Increased earnings B) Maximizing cash flow C) Maximizing shareholder wealth D) Minimizing risk of the firm
-
Rewrite the code of Figure 7.3 in Ada, Java, or C#. Figure 7.3: template class queue { item items [max_items]; int next_free, next_full, num_items; public: queue () : next_free (0), next_full(0),...
-
Find f g h. f(x) = tan x, g(x) = x/x 1, h(x) = 3x
-
Simplify the expression. tan(sin 1 x)
-
Find expressions for the quadratic functions whose graphs are shown. (-2, 2), (0, 1) (4, 2) (1, 2.5) 3
-
What is the CPT code for thyroid lobectomy, right thyroid dissection is was divided from the left thyroid lobe, right thyroid lobe was completely removed from the trachea and surrounding tissues
-
The Sales Returns and Allowances account O A. decreases Sales Revenue. O B. has a normal debit balance. O C. is a contra account to Sales Revenue. O D. All of the statements are correct. The Sales...
-
.c.3. Debt management ratios Continuing from the previous questions, calculate Bayside's 2018 TIE ratio. Round to one decimal place. 2017 Industry average Bayside's TIE ratio 2.6 4.0 Note how...
Study smarter with the SolutionInn App