Prove the formula [f(x) g'(x) + g(x) f'(x)] dx = f(x) g(x) + C
Question:
∫[f(x) g'(x) + g(x) f'(x)] dx = f(x) g(x) + C
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (16 reviews)
The Product Rule fo...View the full answer
Answered By
Niala Orodi
I am a competent and an experienced writer with impeccable research and analytical skills. I am capable of producing quality content promptly. My core specialty includes health and medical sciences, but I can competently handle a vast majority of disciplines.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
Prove the formula fm-1 (x)gn-1(x) [nf(x) g'(x) + mg(x) f'(x)] dx = fm(x) gn(x) + C
-
Assume that f, g, and h are differentiable at x. a. Use the Product Rule (twice) to find a formula for d/dx (f(x)g(x)h(x)). b. Use the formula in (a) to find d/dx (e 2x (x - 1)(x + 3)).
-
Consider the integral f(x)g(x) dx, where f and g are sufficiently smooth to allow repeated differentiation and integration, respectively. Let G k represent the result of calculating k indefinite...
-
a) Discuss the effect of solvent polarity on Rf-values. b)Explain how the Rf (Retention Factor)-values can be in agreement or disagreement with the like dissolves like principle?
-
Why would a small business choose to license its products in other countries?
-
Production data for Bob's Bicycle Factory are as follows: Number of workersBikes assembled per day 1..10 2..18 3..24 4..28 5..30 Other than wages, Bob has costs of $100 (for parts and so on) for each...
-
The front door of a dishwasher of width \(580 \mathrm{~mm}\) has a vertical air vent that is \(500 \mathrm{~mm}\) in height with a \(20-\mathrm{mm}\) spacing between the inner tub operating at...
-
Camp Manufacturing turns over its inventory eight times each year, has an average payment period of 35 days, and has an average collection period of 60 days. The firms annual sales are $3.5 million....
-
Briefly describe the story in the article. What institutional voids are missing in the focal country? If you were Steve Jobs, what would you have done to those stores? Why?...
-
Win the Prize. In a carnival booth, you win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal...
-
In Problems a-b, f"(x) is given. Find f (x) by antidifferentiating twice. Note that in this case your answer should involve two arbitrary constants, one from each antidifferentiation. For example, if...
-
Prove the formula /g(x)r(s) ( )(x)g"(x) dx = g(x) g (x)
-
Explain the meaning of a scaling factor.
-
Which collaborative consumption firms have Google, Ikea, and Cond Nast invested in? Why are these firms potentially attractive to their corporate investors?
-
How does the firm limit the likelihood that it will be ripped off by unscrupulous operators?
-
Why do some think Uber deserves a valuation in excess of the entire taxi and limo market? Do you feel this is justified? Why or why not?
-
What is uberPOOL? What will need to happen for this to be a win for both customers and drivers? Why does Uber management think it can pull this off?
-
How does Uber leverage data in its service? What aspects of the firms operations are improved through data analytics? Does this provide the firm with sustainable competitive advantage? Why or why not?
-
The December 31, Year 1, balance sheet for James Company showed total stockholders equity of $200,000. Total stockholders equity increased by $80,000 between December 31, Year 1, and December 31,...
-
Using the information presented in Problem 13.4B, prepare a partial statement of cash flows for the current year, showing the computation of net cash flows from operating activities using the...
-
A: Consider the special 2-good case where consumer 1 views the goods x1 and x2 as perfect complements with utility equal to the lower of the quantities of x1 and x2 in her basket. Consumer 2, on the...
-
The Equity Premium Puzzle: Investments in equities (like stocks) yield substantially higher returns than investment in bonds. By itself, this is no surprisebecause stocks are riskier than bonds. What...
-
Increased Liquidity, Procrastination and National Savings: Over the past few decades, increasingly sophisticated financial investment possibilities have enabled individuals to place their savings...
-
Assume we are using MergeSort on comparable Students who are compared with respect to their gpa. Assume we have an array of 8 students: [{name:"Ali", gpa:2.9}, {name:"Aye", gpa:3.1}, {name:"Sevil",...
-
Consider a two-input neuron that multiplies its two inputs x1 and x2 to obtain the output 'o'. Let L be the loss function that is computed at 'o'. Suppose that if the values of 044 = 5, x1 = 2, and...
-
The classification problem with four classes of input vector are Class 1: {p = [1], P2 = [2]}, Class 2: {p3 = [21],P4 = []}, Class 3: {ps = [2], P6 = []}, Class 4: {p7 = [1], P = [2]} Design a...
Study smarter with the SolutionInn App