Question: ] 8. Evaluate ) [ 22 (x +4)3 dr in the following steps. (a) Set up a Trigonometric Substitution with an appropriate right triangle

] 8. Evaluate ) [ 22 (x +4)3 dr in the following steps. (a) Set up a Trigonometric Substitution with an appropriate right triangle and relation between x and the reference angle 0. Transform the above integral into si sin tan do. (b) Using cos + sin 0 = 1, verify the following trigonometric identity: sin tan = sec 0 + cos 0 5] (c) Using the results in parts (a) and (b), plus the given formula sheet, evaluate x2 dx. (x+4)3

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

Use the form of the definition of the integral given in Equation 3 to evaluate the integral. 21. , (1 + 30) d 22. (r + 2x - 5) dx 24. (1 + 2x) dx 23. (2- x*) dx fe-dr 25. x' dx

Darryl leases an apartment owned by Tropic Residences, Inc., for one year. Darryl transfers his interest in the lease to Rico for the fourth and fifth months of the lease. This is a(n)

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

On average, do people prefer a... 6 game package with 300-level, mid-court seats and a $20 gift certificate for $35/seat or a 3 game package with 300-level, corner seats that come with a hotdog and...

On January 1, Todd Manufacturing issued $ 4,500,000 par value 8%, five- year bonds ( i. e., there were 4,500 $ 1,000 par value bonds in the issue). Interest is payable semiannually each January 1 and...

Abel, the sole shareholder of Ace Corporation, has an opporunity to purchase the assets of a sole proprietorship for $50,000 in cash. Ace has a substantial E&P balance. Abel does not have sufficient...

From a box that contains 10 balls numbered 1, 2,, 10, we select randomly 2 balls with replacement. For the events A the number on the first ball selected is odd and B the number on each of the two...

Information from Greg Companys balance sheet follows: Current assets: Cash ....................$ 2,100,000 Marketable securities ............. 7,200,000 Accounts receivable ............... 50,500,000...

Use the tollowing intormation to answer the next six questions. cost ( MC ) of $ 1 0 per person Price uarr Based on this information, what is the profit earned by the sales of the high - priced...

hour. Required: 1. Compute the costs of leather and direct labor that should be incurred for the production of 92,000 leather belts. 2. Compute the total budget variances for materials and labor. 3....

1.The author of the book nation and nationalism? 2.who has coined the word soft power is? 3.Kautilya theory of rajamandala belongs to? 4.Man is a political animal who said? 5.Traditional approach...

Explain the factors influencing wage and salary administration.

Examine various types of executive compensation plans.

1. What is the meaning and definition of banks ?

INSTRUCTION: ANSWER QUESTION 3 (Just don't waste my attempt if you don't know how to do it, I will report on it if I found it) QUESTION 3. Construct a Package Diagram to illustrate the package...

Describe the general ways that the revised Form 990, applicable for tax year 2008 and beyond, is different from previous versions.

4. Consider the following two-person, zero-sum game: A B B By S 50 50 A2 1 .1 A 10 110 (a) Verify that the strategies (1.0.) for A and (0) for B are optimal, and deter- mine the value of the game....

Convert the following DCDL expression to a precedence graph. Use fork and join to express this expression. [S || S2 || S3]; S4 ]]

(b) For 1000 ~ Q ~ 4000, solve the problem for the following set of data: Machine i K; ($) C($) 1 100 5 234 2 40 12 150 3 90 8