Question: Use integration by parts to evaluate the following. Check your answer by taking the derivative. x cos(3x)dx

Use integration by parts to evaluate the following. Check your answer by taking the derivative.
∫ x cos(3x)dx

Step by Step Solution

★★★★★

3.29 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let ux x and dvdx cos3x then dudx 1 and vx sin3x3 u... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

808-C-D-E (786).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Amelia Oliver, a single mother, is a client of your tax firm. She and her two-year-old son, Miguel, are U.S. citizens who lived together the entire year. Ms. Oliver provides 100% of her son's support...

Q:

Use integration by parts to evaluate the following integrals. In x dx Jo

Q:

Use integration by parts to evaluate the following integrals. 00 In x x2

Q:

Use integration by parts to evaluate the following integrals. cln 2 3t dt et -1

Q:

Use integration by parts to evaluate the following. Check your answer by taking the derivative. x2e-xdx

Q:

The goal of this exercise is to use integration by parts to evaluate the following indefinite integral: In (ac) - dx . 4 Choose the best parts f and g so that we can rewrite the integral as follows:...

Q:

The goal of this exercise is to use integration by parts to evaluate the following indefinite integral: In() de . Choose the best parts f and g' so that we can rewrite the integral as follows: In(I)...

Q:

FOF ACCT 2301 Final E...pdf Lenovo FOF Final Exam In-class..p 5) Use integration by parts to evaluate the following integral : S [3x2 In(x) ]dx. Identify the values that need to be used for u, du,...

Q:

hey guys this question is from a practice exam, i want to know step by step how to answer this, since what i will be asked will be similar, i will apreciate it you set on the side the formulas and...

Q:

Question 4 (@) Interpret lim k=19n+ as a definite integral and evaluate it. (8 marks) (b) (i) Use integration by parts to evaluate the following integral. (In x)2 dx (8 marks) (ii) Show that the...

Q:

1 Use integration by parts to evaluate the following indefinite integral fx5 ln 3x dx 1) Use integration by parts to evaluate the following indefinite integral: f x5 In(3x) dx

Q:

The y-component of the force F which a person exerts on the handle of the box wrench is known to be 64 lb. Determine the x- component and the magnitude of F. Answers: Fx= F= i i lb lb F 6

Q:

On January 1, 2010, the Ramirez Company ledger shows Equipment $29,000 and Accumulated Depreciation $9,000. The depreciation resulted from using the straight-line method with a useful life of 10...

Q:

3.53 Find the mesh currents in the circuit of Fig. 3.98 using MATLAB . 2 ww 13 8 1 ww 12 V 4 3 15 ww ww 8 4 ww 3 mA

Q:

Suppose you are given the following data: (1) Risk-free yearly interest rate is r = 6%. (2) The stock price follows: S t ? S t?1 = ?S t + ?S t ? t Where the ? is a serially uncorrelated binomial...

Q:

A number of thin plates are to be cooled by vertically suspending them in a water bath at a temperature of 200C. If the plates are initially at 54C and are 0.15 m long what minimum spacing would...

Q:

A square plate of pure aluminum 0.5 m on a side and 16 mm thick is initially at 300C and is suspended in a large chamber. The walls of the chamber are maintained at 27C, as is the enclosed air. If...

Q:

Many laptop computers are equipped with thermal management systems that involve liquid cooling of the central processing unit (CPU), transfer of the heated liquid to the back of the laptop screen...

Q:

A plate 1 m by 1 m, inclined at an angle of 45, is exposed to a net radiation heat flux of 300 W/m 2 at its bottom surface. If the top surface of the plate is well insulated, estimate the temperature...

Q:

With the class divided into seven groups, each group will pick one of the components of a financial plan and develop a presentation to explain that component. This presentation may be a...

Q:

Suppose that the number of thousands of insects killed by two brands of pesticide is given by f (x, y) = 10,000 - 6500e-0.01x - 3500e-0.02y where x is the number of liters of brand 1 and y is the...

Q:

If f (x, y) = (x3 + 2y2)3, find f/x and f/y.

Q:

Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given by P(x, y) = 10x + 6.4y - 0.001x2 - 0.025y2 where x is the number of pounds of Kisses and y is the number of pounds of...

Q:

McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $810 per set and have a variable cost of $370 per set. The company has spent $230,000 for a marketing study that...

Q:

Gina and George are a charitably inclined couple. George, age 6 8 , is a personal injury lawyer and makes between $ 7 5 0 , 0 0 0 and $ 1 , 5 0 0 , 0 0 0 per year. Gina , age 6 9 , runs a craft...

Q:

Cantel Company produces cleaning compounds for both commercial and household customers. Some of these products are produced as part of a joint manufacturing process. For example, GR37, a coarse...