Prove the formula fm-1 (x)gn-1(x) [nf(x) g'(x) + mg(x) f'(x)] dx = fm(x) gn(x) + C
Question:
∫ 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:
Answer rating: 92% (14 reviews)
The Product Rule for derivatives says ...View the full answer
Answered By
Rayan Gilbert
I have been teaching since I started my graduation 3 years ago. As a student, working as Teacher/PA has been tough but made me learn the needs for student and how to help them resolve their problems efficiently. I feel good to be able to help out students because I'm passionate about teaching. My motto for teaching is to convey the knowledge I have to students in a way that makes them understand it without breaking a sweat.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus 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...
-
The Nielsen Home Technology Report provided information about home technology and its usage. The following data are the hours of personal computer usage during one week for a sample of 50 persons....
-
Information management is the core of any environmental management system. Do you agree with this statement? How important is accounting information in an environmental management system? Outline...
-
A wet steam at 20bar with a quality of 0.97 (see Problem 7.32) leaks through a defective steam trap and expands to a pressure of 1 atm. The process can be considered to take place in two stages: a...
-
During July, several events occurred at the Flamingo Resort. a. On July 1, a Petty Cash Fund was established in the amount of $100. b. On July 15, the fund was replenished, since it had a balance of...
-
A binary classification model is tested on 1000 data points, of which it predicts 200 belonging to the positive class and 750 are predicted correctly as the negative class. Out of 1000, if actually...
-
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
-
Better Life Products (BLP), Inc., is a large U.S.-based manufacturer of health-care products; it specializes in cushions, braces, and other remedies for a variety of health problems experienced by...
-
Describe the five major organizations governing the EU.
-
Why is exporting the most popular initial entry mode?
-
Under what conditions should a firm consider a greenfield strategy for FDI? An acquisition strategy?
-
Why do free trade areas develop rules of origin?
-
What factors could cause you to reject an offer from a potential licensee to make and market your firms products in a foreign market?
-
What Graphics class methods do you use to perform the following tasks? a) Draw a line. b) Draw a filled rectangle. c) Draw a filled oval. d) Draw a filled arc. e) Set the drawing color. f) Draw a...
-
KD Insurance Company specializes in term life insurance contracts. Cash collection experience shows that 20 percent of billed premiums are collected in the month before they are due, 60 percent are...
-
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...
-
1) Describe the similarities and differences between an early approval adult use registration and a conditional adult use registration. 2) List the paperwork requirements for submitting an...
-
Price ($/m) 600 400 200 0 The graph below shows the price of solar panels for electrical generation in Washington, D.C., over the nearly 3.5 years from July 2020 through the end of December 2023. The...
-
in accured interest, what is the formula and compute: a closing price of 101.375 on a particular day for IBM bond represents 101.3 percent of 1,000 or 1,0135 x $1,000
Study smarter with the SolutionInn App