Indefinite Integration Questions and Answers

13 loge x 2 loge x 7 2 x a 2 11 b 11 C 2 d 11 2

3 When solving 5 9 what is an intermediate step a x log 09 log 05 1 b X log109 log 0 5 log 09 log10 5 log10 5 C X d X

y tan x y sin x y cos x y csc x y sec x y cot x Submit A V 16 5 4 3 2 6 5 4 3 2 1 3 Q

valuate the indefinite integral S x 52 x 6x

1 S x 10x 74 Hint Complete the square to integrate dx

2 Use integration by parts to evaluate the following indefinite integral fe x sin 5x dx

Consider the function f x 7x 2x 9x 4 Enter an antiderivative of f x Do not enter c as part of your answer

4 Find the general antiderivative of f x 5x5 6 5x 6 4log x 618 colo 8x 3 X C 6 X x 4 x

Consider the function f t 10 sec t 5t Let F t be the antiderivative of f t with F 0 0 Then F t

Find the most general antiderivative of the function 4 F x f x M S 8 5e

Consider the function f x 6x 4x5 4x4 3 Enter the antiderivative of f x

valuate the following integral 1 x 4 x 3 Se

Consider the following indefinite integral The integrand decomposes into the form Compute the coefficients a C 6x 3x 19x 10 x 4 62 ax b Now integrate term by term to evaluate the integral C XC 2 dx d x 2

Find f x if we know that f x 30x and f 1 5 and f

The graph shows the percentage of households in a certain city watching television during a 24 hr period on a weekday t 0 corresponds to 6 a m By computing the slope of the respective tangent line estimate the rate of change of the percentage of households watching television at a 8 p m Note that dy 2 1 y 30 22 5 15 7 5 2 4 6 8 10 12 14 16 18 20 22 60

1 A x B x 81 2 3 Enter a T or an F in each answer space below to indicate whether or not a term of the given type occurs in the general form of the complete partial fractions decomposition of the integrand A1 A2 A3 and B B2 B3 denote constants Aga B3 x 9 BA x 1 4 BT x 3 4 5 A x 6 B B5 8 B6 7 B I B x 3 x218x 4 9x7 31 x3 4x 3x x4 81 dx

Using the appropriate Euler formula and homogeneous initial condition determine the Bn Fourier coefficients note that this will require you to integrate by parts 8 B sin px e t 0 05 0 001x

Myrtle Wilson I suupose Daisy ll call too 154 Chapter 9 Jimmy was bound to get ahead He always had some resolves like this or something 173 About five o clock our procession of three cars reached the cemetery and stopped in a thick drizzle beside the gate first a motor hearse horribly black and wet then Mr Gatz and the minister and I in the limousine and a little later four or five servants and the postman from West Egg in Gatsby s station wagon all wet to the skin 174 That poor son of a bitch 175 Gatsby believed in the green light the orgastic future that year by year recedes before us 180 Chapter 2 Middle thirties and faintly stout but she carried her surplus flesh sensuously her face contained no facet or gleam of beauty but there was an immediately perceptible vitality about her as if the nerves of her body were continually DEPARTMENT of EDUCATION Louisiana Believes smouldering Get some chairs why don t you so somebody can sit down I want to see you All right She let four taxi cabs drive away before she selected a new one lavender colored with grey upholstery The living room was crowded to the doors with a set of tapestried furniture entirely too large scenes of ladies swinging in the gardens of Versailles Mrs Wilson had changed her costume and was now attired in an elaborate afternoon dress The intense vitality had converted into impressive hauteur Raised her eyebrows in despair at the shiftlessness of the lower orders in this book portrays him as the embodiment of hope reaching out toward the green light This hopeful last image of Gatsby seems to be symbolizing the beauty that lies in a dream Though it may be foolish believing in that green light is what allows people to beat on Chapter 2 The words used to describe Myrtle suggest that she is sexy sensuously smouldering and full of life vitality She is not traditionally pretty though She is dominant when she is with Tom revealing that she seems to be in control of that relationship In contrast Tom tells Myrtle what to do and she listens In several instances the taxi the apartment Myrtle shows how concerned she is about appearances The word hauteur also implies that she is putting on a facade of wealth Chapter 7 The words used to describe Myrtle in this chapter reveal her as the dispensable character that she was throughout the book Her look is described as purposeless Even in death she is extinguished as though she is a fire to be put out Her injuries are described in gory details yet still portray her in the sexualized way that her character is known for in this book Her breast is described as a flap and her mouth was ripped open These attributes that sexualized her in the earlier chapters now create a morbid image of Myrtle in death Chapter 2 The author seems to have a condescending attitude toward Myrtle He seems to highlight how ridiculous her apartment and her clothes are to reflect how clueless she is However the author also gives her Grade 11 American Dre a vitality that Daisy lacks proving that his attitude toward Myrtle is more positive than his attitude toward Daisy Chapter 7 The author s attitude toward Myrtle is that she is vibrant but dispensable Her death is a grotesque event made even more grotesque by the way her breasts and mouth are described However her death at the hands o the careless upper class creates he as a victim and somewhat sympathetic especially in comparison with the members of the upper class Grade 11 American Dre

Mohamed Salad Attempt 1 Question 1 0 5 points Listen Evaluate x x 2dx 2 3 0 x 2 C 2 3 x 2 C 7 x 2 2 3 2 C 1 3 2

RECA 2 Calculate the area of the region bounded by the curves y x y x 2 and the lines y 0 and y 2 Dreplenis

4 Given in A tan8 Find the values of the following tan A B A 314 B 44 C 417 7 24 angle A is in Quadrant I and angle B is in Quadrant II D 39

Justify that the following R integrals do exist and specify them i x1x x d x1 x2 with A 1 2 2 4 ii x x x3 x1 x3 x3 d x x2 x3 with A 1 2 2 4 4 8

Two years ago you purchased 100 shares of Coca Cola Company Your purchase price was 58 a share plus a total commission of 30 to purchase the stock During the last two years you have received the following dividend amounts 2 30 per share for the first year and 2 46 per share the second year Also assume that at the end of two years you sold your Coca Cola stock for 63 a share minus a total commission of 42 to sell the stock a Calculate the dividend yield for your Coca Cola stock at the time you purchased it Enter your answer as a percent rounded to 2 decimal places Dividend yield at purchase b Calculate the dividend yield for your Coca Cola stock at the time you sold it Enter your answer as a percent rounded to 2 decimal places Dividend yield at sale c Calculate the total return for your Coca Cola investment when you sold the stock at the end of two years Do not round intermediate calculations Round your final answer to the nearest whole dollar Total return d Calculate the annualized holding period yield for your Coca Cola investment at the

sin COS tan 1 0 2 3 ans X Convert the angle 480 to radians Give the exact value and use pi for T

0 ans Next question Please show all your work NO WORK NO CREDIT Score on last try 0 of 10 pts See Details for more Get a similar question You can retry this Use the like bases property to solve the equation x 2 3 58x 4 5 If needed enter a fraction value not a decimal value

A company manufactures a product and the research department produced the marginal cost function C1 x 300 0 x 800 where Ci is in dollars and x is the number of units produced per month Compute the increase in cost going from a production level of 400 units per month to 800 units per month Set up a definite integral and evaluate it 160 000 60 000 260 000 100 000 x 4

Find the antiderivative of the given derivativ ex 5e 5x ex e 5x 4 dp dx 11 SEN DE BRANDS HONESTON INTE

Find the indefinite integral and check the res t 1 18 dt Determine an appropriate substitution to simp

3 Use integration by parts to find a fx lnxdx 1 b sin xdx 15 x

1 Evaluate the following integral 8x 7 2 x x 2 S dx to ni latobn kuima

5 a Find the indefinite integral of each of the following i f 3 2x 3 dx

Write the partial fraction decompositio x x 6 x 3 x 20x 3

31 32 Use Simpson s Rule with n 10 to approximate the area of the surface obtained by rotating the given curve about the x axis Compare your answer with the value of the integral produced by a calculator or computer 31 y x 0 x 5

Find the integral O x 10 c x 10 c O x 10 dx x 10 c O2 x 10 02 01 c

Find f x if f x 3 3 x5 and f 1 1 O 28x 5 3 3 19 Of x 3x 13 0 x 3 O 28x 5 32

Find 1 3 6 13 O O 6 C dt t 6 1 6 6 t c c 1 2 6 t c

Find the integral e7a 1 c 7x 4 e7x 4 dx 7x 7x 4 e7 4 c 7e7x 4 c O e 7x c

Find f x if f x O 3 x 4 13 3 0 x 4 5 0 x 4 O 13 23 x 4 C 3 x5 and 1 1 f 1 2

Find the integral O 5 t 5t 2 dt 5t3 5t2 2t C 10t 5 C O 1 512 2t C 53 5t 2t C

Find the indefinite integral as indicated x x 7 dx 3 9x dx 3 x 9x 7 dx dx

Discuss the validity of the following stat x 1 n 1 If n is an integer then is an antid Choose the correct answer below O A This is a true statement for all p OB This is a true statement for all n

17 a 1 pt Find the radian measure of 210 b 2pts Find the exact value sec 37 c 2pts Find the exact value cos d 2pts Find the exact value tan an 77 6

Evaluate the indefinite integral da x 81 0

Evaluate the indefinite integral T HINT da 100 csc u du ln csc u cot u C

ate the indefinite integral 16 dx 1 16x 5

For each of the indefinite integrals below choose which of the following substitutions would be most helpful in evaluating the integral Enter the appropriate letter A B or C in each blank DO NOT EVALUATE THE INTEGRALS A B x C x 6 tan 0 or x 2 3 2 36 x dz 1 da 6 cot 0 6 sin 0 or x 6 cos 0 6 sec 0 or x 6 csc 0 x 36 5 2 da 36 x x dx 4 36 x 05 x 36 dx 4

Evaluate the indefinite integral ftan tan 12x sec5 12x dx

Evaluate the indefinite integral tan tan 10x

Evaluate the indefinite integral It tan 3x sec 3x dx

Evaluate the indefinite integral 160 16 cos