Let J n = dx/(x 2 + 1) n . (a) Compute J 1 . (b)
Question:
Let Jn = ∫ dx/(x2 + 1)n.
(a) Compute J1.
(b) Use Integration by Parts to prove
(c) Use this recursion relation to calculate J2 and J3.
Transcribed Image Text:
X Jan+1 = (1 - 2 ) x + (2n) (x² + 1)² Jn 2n
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (2 reviews)
dx x2 1 b Use Integration a J Then and Now S Therefore x x2 11 Jn tan xC by Parts with ...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use integration by parts to prove the reduction formula. a. (ln x)n dx = x(ln x)n - n (ln x)n-1 dx b. tannx dx = = (tann-1 x)/(n - 1) - tann-2 x dx (n 1)
-
In Exercises use integration by parts to prove the formula. Se eax cos bx dx = eax(a cos bx + b sin bx) a + b + C
-
In Exercises use integration by parts to prove the formula. eax sin bx dx = eax(a sin bx b cos bx) a + b + C
-
The dot-com business has raised many issues about accounting practices, some of which are of great concern to both the SEC and the FASB. Important ones relate to the valuation and classification of...
-
Emblems for you sells specialty sweatshirts. The purchase price is $10 per unit plus 10% tax and a shipping cost of 50 per unit. When the units arrive, they must be labeled, at an additional cost of...
-
1. Larry is considering reorganizing. What should he do? 2. What are the advantages of keeping a functional organizational structure? What are the disadvantages? 3. What might he gain from a team...
-
How many months does it take to save $200,000.00 based on the information provided in this problem?---
-
Fortune ran an article on Bob Olstein, an investment analyst who was particularly bullish at the time on several well-known stocks. He said the following indicators were the keys to his success: (1)...
-
Let B = {0, 2, 4, 6, 8, 10) and C = {15, 16, 17, 18, 19). Write Cu B using the listing method. CUB=
-
The area function F(x) = x 0 1 t 2 dt is an antiderivative of (x) = 1 x 2 . Prove the formula using geometry by interpreting the integral as the area of part of the unit circle. 1 1 *VI-Pdt = sin ...
-
Find the volume of revolution for the region in Exercise 51, but revolve around y = 3. Data From Exercise 51 Find the volume of the solid obtained by revolving the region between the graph of y 2 x...
-
For an investment to triple in value during a 15-year period, a. What annually compounded rate of return must it earn? b. What quarterly compounded rate of return must it earn? c. What monthly...
-
b) Compute the difference in the log value that optimist and pessimists attach to the bond, i.e. In Vo In Voss. In = VOpt. 0,T 0,T VPs). How does bond maturity affect the disagreement between...
-
7. Which one of the following time periods is included in the accounts receivable period but not in the cash collection period? Points) period of time it takes an invoice to reach a customer by mail...
-
(a) Define semistrongform market efficiency. (b) Using the evidence discussed in class, explain whether the evidence on the return behavior of 'size based portfolios' and 'booktomarket based...
-
A survey conducted on behalf of the Mental Health Commission of Canada (MHCC), found that many people in Canada have seen their stress levels double since the onset of COVID-19, with fears over...
-
An investment pays $500 at the end of every 6 months for the next 3 years. The nominal interest rate is 12%; compounded quarterly. What is the present value of the investment?
-
Refer to requirement 2 of Exercise 17-13. In Exercise 17-13. REQUIRED 1. Assume there was no beginning inventory of any kind on January 1, 2012. During January, 10,000 cameras were placed into...
-
Show that, given a maximum flow in a network with m edges, a minimum cut of N can be computed in O(m) time.
-
Find an expression for the function whose graph is the given curve. The top half of the circle x 2 + (y 2) 2 = 4
-
Find an expression for the function whose graph is the given curve. The bottom half of the parabola x + (y 1) 2 = 0
-
Find an expression for the function whose graph is the given curve. The bottom half of the parabola x + (y 1) 2 = 0
-
@ education.wiley.com [ g [ Question 3 of 3 - Homework: Chapter 2 & Homework: Chapter 2 Question 3 of 3
-
Current Attempt in Progress Wildhorse Company accumulates the following data concerning a mixed cost, using kilometres as the activity level: Kilometres KilometresDriven Total Cost Driven Total...
-
On 30 April 2020, a company classified a freehold building as held for sale. The building had a carrying amount on that date of 5m. The building has been valued by an estate agent at 6m and selling...
Physics For Scientists And Engineers With Modern Physics 1st Edition - ISBN: ?0558876544 - Free Book
Study smarter with the SolutionInn App