Prove the formula fm-1 (x)gn-1(x) [nf(x) g'(x) + mg(x) f'(x)] dx = fm(x) gn(x) + C

Question:

Prove the formula
∫ fm-1 (x)gn-1(x) [nf(x) g'(x) + mg(x) f'(x)] dx = fm(x) gn(x) + C

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 09:58 AM

See More Questions

Prove the formula [f(x) g'(x) + g(x) f'(x)] dx = f(x) g(x) + C
Prove Jensens inequality, which states that for any convex function g (x) and any random variable X, E [ g( X)] g ( E [ X]).
If p(x) is a polynomial of degree n and G1, G2, .... Gn+1, are successive anti-derivatives of a function g, then, by repeated integration by parts. p(x) g(x) dx = p(x) G1(x) - p' (x) G2(x) + p''(x)...
You are given the following information concerning four stocks: a) Using 20X0 as the base year, construct three aggregate measures of the market that simulate the Dow Jones Industrial Average, the...
Think of transactions you have entered into in the past: With whom were you agreeing, what was the agreement about, and what were the terms? When have you had a written contract with someone? When...
Ellie and Vince are trying to decide whether to purchase a new home. The house they want is priced at $200,000. Annual expenses such as maintenance, taxes, and insurance equal 4 percent of the home's...
As discussed in Section 5.2, the lumped capacitance approximation may be applied if $B_{i} <0.1$, and, when implemented in a conservative fashion for a long cylinder, the characteristic length is...
The Severn Company plans to raise a net amount of $270 million to finance new equipment and working capital in early 2009. Two alternatives are being considered: Common stock may be sold to net $60...
Encouraging team productivity can be a major issue in many organizations. Inclusive and Exclusive are the two common management styles most organizations exhibit. Discuss the effectiveness or...
On November 30, 2020, Walter Corporation (a U.S.-based company) forecasts the sale of equipment to a foreign customer at a price of 500,000 crowns. The equipment is expected to be delivered on...
Prove the formula 2g(x)f(x) - f(x)g'(x) f(x) 21g(x))32
Evaluate the indefinite integral sin3[(x2 + 1)] cos [(x2 + 1)4] (x2 + 1)3 x dx
Discuss the physical origin of quantization of energy for a particle confined to motion around a ring.
Identify three barriers to communication.
Identify three types of contexts that can influence communication.
What does it mean to encode and decode a message?
What is professional presence?
Imagine that you are trying to persuade a teammate to agree with an idea for a presentation, and the teammate accuses you of being manipulativetrying to influence someone for your own advantage. What...
Which of the following describes the graph of the parametric curve x = 3t, y = 2t, t 1? (A) Circle (B) Parabola (C) Line segment (D) Line (E) Ray
What is a make-or-buy decision?
Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the price of the coffee.
A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a function of time over the course of a four-week period.
The number N (in millions) of US cellular phone subscribers is shown in the table. (Midyear estimates are given.) (a) Use the data to sketch a rough graph of N as a function of t. (b) Use your graph...
There are two real numbers a for which (2x)+15 (1-x) = 8x - 3x + 2. The sum of these two real numbers is
Net sales Cost of goods sold Depreciation INCOME STATEMENT (Figures in $ millions) Earnings before interest and taxes (EBIT) Interest expense Income before tax Taxes Net income $ 882.00 742.00 32.00...
Venita is sewing new curtains. The table below shows the relationship between the number of stitches in a row and t length of the row. Sewing Number of Length (cm) stitches 5 1 15 3 20 4 30 6 What is...

Prove the formula fm-1 (x)gn-1(x) [nf(x) g'(x) + mg(x) f'(x)] dx = fm(x) gn(x) + C

Question:

Step by Step Answer:

The Product Rule for derivatives says ...View the full answer

Calculus

Students also viewed these Calculus questions