Verify by differentiation that the formula is correct. a. 1/(x2(1+x2)) dx = - (1+x2)/x + C

Question:

Verify by differentiation that the formula is correct.
a. ∫ 1/(x2√(1+x2)) dx = - (√1+x2)/x + C
b. ∫ cox3x dx = sinx -1/3 sin3x + C

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

See More Books

Question Posted: Mar 04, 2016 06:57 AM

See More Questions

Verify Formula 33 in the Table of Integrals (a) By differentiation and (b) By using a trigonometric substitution.
Verify Formula 53 in the Table of Integrals (a) by differentiation and (b) by using the substitution t = a + bu.
Verify Formula 33 in the Table of Integrals (a) By differentiation (b) By using a trigonometric substitution.
In year 1, the prices of goods X, Y, and Z are $2, $4, and $6 per unit, respectively. In year 2, the prices of good X, Y, and Z are $3, $4, and $7, respectively. In year 2, twice as many units of...
Zlin Aerospace Corporation reported the following equity account balances on December 31, 2013: Preferred shares, $3.60 cumulative, unlimited shares authorized ........................ $ -0- Common...
@ Consider y defined as a function of x by the equation: Ax+By+C=0 If A, B and C are constants, show that the graph of y is a straight line. What happens when B=0? Note that we say that the locus of...
For each of the following sets of numbers, calculate a $95 \%$ confidence interval for the mean ( $\sigma$ known); before going through the steps in calculating the confidence interval, the...
You are the accountant for Rolla Inc. (Rolla). For each of the following situations, prepare the necessary adjusting entries. Also show the related transactional entries and the date the entries...
(13%) Problem 8: A contestant in a winter sporting event pushes a 46 kg block of ice in the positive direction across a frozen lake as shown in the figure. Assume the coefficients of static and...
The partnership of Par and Boo was formed and commenced operations on March 1, 2016, with Par contributing $30,000 cash and Boo investing cash of $10,000 and equipment with an agreed-upon valuation...
A manufacturing company owns a major piece of equipment that depreciates at the (continuous) rate f = f(t) , where is the time measured in months since its last overhaul. Because a fixed cost A is...
Find the general indefinite integral. Illustrate by graphing several members of the family on the same screen. (cox x + 1/2 x) dx
Base your answers to the following questions on the 2010 balance sheet and statement of operations of Research in Motion Limited (RIM) in Exhibit 2-12. RIM is the manufacturer of the Blackberry....
How does industrialization fundamentally alter the economic structure of societies, transitioning from agrarian-based economies to industrialized ones?
Consider a home mortgage of $150,000 at a fixed APR of 4.5% for 25 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid,...
Explain the concept of social entrepreneurship with theoretical models and examples. Give some suggestions, on how the Prime Group Sri Lanka in the discussion can be involved in social...
The Tolar Corporation has 400 obsolete desk calculators that are carried in inventory at a total cost of $576,000. If these calculators are upgraded at a total cost of $100,000, they can be sold for...
How do government policies and regulations influence the trajectory and outcomes of industrialization, including factors such as labor rights, environmental protection, and economic development...
Find the length of the curve y = x from the origin to the point where the tangent makes an angle of 45 with the x-axis.
You are standing at x = 9.0 km and your assistant is standing at x = 3.0 km. Lightning bolt 1 strikes at x = 0 km and lightning bolt 2 strikes at x = 12.0 km. You see the flash from bolt 2 at t = 10...
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If x > 0, then (ln x) 6 = 6 ln x.
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of the function. 1.
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations. y = x 2
why you assume value of Machine A is assumed to decrease by $7,000 each year for the purpose of these calculations?
1. You want to create a Dog object. Which of the following would you use to describe it? (Choose all that apply.) A. String breed B. int age C. boolean isADog D. String ownerName E....
Part 1: Cathy Forth Photography Services (20 marks) You have been hired by Cathy Forth as her new bookkeeper. She has given you the following information: Use the current date and provide an...

Verify by differentiation that the formula is correct. a. 1/(x2(1+x2)) dx = - (1+x2)/x + C

Question:

Step by Step Answer:

a b ddx sinx 13 sin 3 x C d...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions