Question: Calculate the anti-derivative F(x) of the rational function below Integrate -2 3x +1 + 1 (5 - 7x) x2 x + 3 - 2x +

Calculate the anti-derivative F(x) of the rational function below

-2 3x +1 + 1 (5 - 7x) x2 x + 3

Integrate

- 2x + 5

-2 3x +1 + 1 (5 - 7x) x2 x + 3 - 2x + 5

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 function fx into simpler functions and find the antiderivatives for each of them separately using the power rule chain rule and substitution method ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

3. Ten jobs are to be completed by three men during the next week. Each man works a 40-hour week. The times for the men to complete the jobs are shown in the table below. The values in the cells...

The graph of the derivative f of a function f is shown. (a) On what intervals is f increasing or decreasing? (b) At what values of x does f have a local maximum or minimum? y= f'(x) 0 4

The graph of the derivative f of a continuous function f is shown (a) On what intervals is f increasing or decreasing? (b) At what values of x does f have a local maximum or minimum? (c) On what...

The graph of the derivative f of a function f is shown. (a) On what intervals is f increasing or decreasing? (b) At what values of x does have a local maximum or minimum? 6. 5. y= f'(x) y=f'(x) 6. 6.

MODULE 2 DISCUSSION Create a piecewise - defined function f ( x ) using ? S: rational function when * 6 - 2 Vi polynomial of degree 3 or greater when x 2 - 2 rational function ; f ( x ) = q ( x ) P (...

Please show your work Name: Answer all questions and show your work. 1. Find the rational zeros of f(x) = x4 - x3 + x2 - 3x - 6. 2. Find all the zeros of f(x) = x4 - x3 + x2 - 3x - 6. 3. List all the...

11. Find f ' ( x ) if f ( x ) = ( x3 + 2x + 4) 2. A. 12 (3x2 + 2) ( x3 + 2x + 4 ) B. 2x2 + 4x + 8 C. 2(3x2 + 2 ) ( x3 + 2x + 4 ) D. 3x2 + 2 12. What is the derivative of h(x) = (3x2 + 4)(2x - 3)? A....

Name SAAYEH ESCAL 7-3 Additional Practice Quadratic Functions in Standard Form Graph each function. Identify the y-intercept, axis of symmetry, and vertex of each function. Does the vertex represent...

All of them please 1. Determine an equation in the form f(x) = kx- c 1 for a function with a vertical asymptote at x = 2 and a y-intercept of = vv 2. Determine the instantaneous rate of change at x =...

Calculate the following limits x 3 x 2 x 1 a limx 3x 2x 1 c limx 2x 5x 7 e limx 4x 3x 2x 3x 5 g limx sin 2x X 2x 5 x 1 3x 2 b limx d limx f limx 4x 2x 5 2x3 3x 1 5x 3x 2 3x 2x 1 2 x 1 h limx x 2

I am struggling on answering these questions. I need help on all parts. 1. Given f(x) = Vx + 3 and g(x) = x2. Find (fog) (x) 2. Given f (x) = = and g(x) = x+3. Find (f + g) (2). 3. Given f (x) = x2 +...

The LIBOR zero curve is flat at 5% (continuously compounded) out to 1.5 years. Swap rates for 2- and 3-year semiannual pay swaps are 5.4% and 5.6%, respectively. Estimate the LIBOR zero rates for...

Which of the following features is not present in the phylum Arthropoda (a) Chitinous exoskeleton (b) Metameric segmentation (c) Parapodia (d) Jointed appendages

Logistics only pertains to the internal focus ( inbound logistics ) of an organization.TrueFalse

Using the following data go through chapter 2 and develop the requested tasks using a spreadsheet modeling: Race Performance Company Month Qty Costs (000) Sales (000) Jan 15,000 $ 1,250.00 $ 2,340.00...

Direct costs of a project are shown on the following bar chart (see Table P6.2). Assume -> $500 per month indirect cost and 10% retainage with payment time lag of one month. Calculate the project?s...

2. Plate B (which has heat generation) is located between Plate A and Plate e. No heat generation for Plate A and C. Plate A and Plate C are surrounded by liquid which has temperature of 25C and...

A Foucault pendulum swings to 3.0 in above the ground at the highest points and is practically touching the ground at the lowest point. What is the maximum velocity of the pendulum?

Choose a movement learning experience for a task presentation and give one example of a content behavior for that task and one example of a management behavior for that task

A company claims that its medicine, brand A, provides faster relief from pain than another company's medicine, brand B. A random sample from each brand gave the following times (in minutes) for...

The following table gives in-state tuition costs (in dollars) for 15 randomly selected colleges taken from a list of the 100 best values in public colleges (a) Test for outliers. (b) Test whether the...

Prove that if X has a t-distribution with n degrees of freedom, then X2 ~ F (1, n).

Once you have written the first draft, what should you do? a. Submit it to the instructor, as your first draft is usually the best effort. b. Let it sit a few days before going back over it to make...

What learning aid gives the student the ability to more effectively read and remember material? a. chapter summaries b. content maps c. SQ3R d. practice quizzes

Which of the following would be a more manageable topic for a term paper?