Evaluate the integral by following the steps given. (a) Show that the substitution x = 3 sin
Question:
Evaluate the integral by following the steps given.
(a) Show that the substitution x = 3 sin θ transforms I into ∫dθ, and evaluate I in terms of θ.
(b) Evaluate I in terms of x.
Transcribed Image Text:
= S I = dx √9 - x²
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (5 reviews)
a Let x 3 sin 8 Then dx 3 cos 0 do ...View the full answer
Answered By
Amit Kumar
I am a student at IIT Kanpur , which is one of the prestigious colleges in INDIA.
Cleared JEE Advance in 2017.I am a flexible teacher because I understand that all students learn in different ways and at different paces. When teaching, I make sure that every student has a grasp of the subject before moving on.
I will help student to get the basic understanding clear. I believe friendly behavior with student can help both the student and the teacher.
I love science and my students do the same.
4.90+
44+ Reviews
166+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Repeat Prob. 11??45 for a total water height of 2 m. 2 m Water A Gate 3 m B
-
Evaluate the integral by following the steps given. = S I = dx 4x +9
-
Evaluate the integral by following the steps given. dx x x - 2 I = = S
-
Computer Technologies provides maintenance service for computers and office equipment for companies throughout the Northeast. The sales manager is elated because she closed a $300,000 three-year...
-
On December 23, 2010, Miller Wholesalers ships merchandise to Michael Retailers with terms of FOB destination point. The merchandise arrives at Michaels warehouse on January 3, 2011. Required 1....
-
The Euler-Cauchy Equation A well-known linear second-order equation with variable coefficients is the Euler-Cauchy Equation3 Where a, b, c ( IR. and a of; 0. Show by substituting y = tr that...
-
14. Suppose S = $100, r = 8%, = 30%, T = 1, and = 0. Use the Black-Scholes formula to generate call and put prices with the strikes ranging from $40 to $250, with increments of $5. Compute the...
-
Ray County administers a tax custodial fund, an investment trust fund, and a private-purpose trust fund. The tax custodial fund acts as custodian for the county, a city within the county, and the...
-
After retiring as a physician, Bob Guthrie became an avid downhill skier on the steep slopes of the Utah Rocky Mountains. As an amateur inventor, Bob was always looking for something new. With the...
-
Evaluate the integral by following the steps given. I = dx (x + 4) S
-
Let In = x n cos(x 2 ) dx and J n = x n sin(x 2 ) dx. (a) Find a reduction formula that expresses I, in terms of Jn-2. Write x" cos(x) as x-1(x cos(x)). (b) Use the result of (a) to show that I, can...
-
Describe, in terms a businessperson could understand, what are meant by the cardinality and modality of a relationship between two entities.
-
In Exercises 25-28, construct a data set that has the given statistics. N = 8 2 3
-
Sample SAT scores for eight males and eight females are listed. Males 1010 1170 1410 920 1320 1100 690 1140 Females 1190 1010 1000 1300 1470 1250 840 1060
-
Best Actor 2018: Gary Oldman, Age: 59 Best Supporting Actor 2018: Sam Rockwell, Age: 49 The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the...
-
Consider a market dominated by just two airlines, American and United. Each can choose to restrict capacity and charge a high price or expand capacity and charge a low price. If one of the two...
-
Using the product structure for Alpha in Solved Problem 14.1, and the following lead times, quantity on hand, and master production schedule, prepare a net MRP table for Alphas. Data From Problem...
-
A crack in a plastic compound affects the strength of the material. In order to investigate the relationship between the strength and the length of a crack, an experiment was conducted where cracked...
-
If you want to solve a minimization problem by applying the geometric method to the dual problem, how many variables and problem constraints must be in the original problem?
-
The weekly rental cost of a 20-foot recreational vehicle is $129.50 plus $0.15 per mile. (a) Find a linear function that expresses the cost C as a function of miles driven m. (b) What is the rental...
-
Find the domain of h(z) = 3z 1/6z - 7.
-
For the function f defined by f(x) = x 2 - 4x + 1, find: (a) f(2) (b) f(x) + f(2) (c) f (-x) (d) -f(x) (e) f(x + 2) (f) f(x + h) f(x) h + 0
-
Famas Llamas has a weighted average cost of capital of 8.8 percent. The companys cost of equity is 12 percent, and its pretax cost of debt is 6.8 percent. The tax rate is 22 percent. What is the...
-
The common stock of a company paid 1.32 in dividens last year. Dividens are expected to gros at an 8 percent annual rate for an indefinite number of years. A) If the company's current market price is...
-
(1 point) Bill makes annual deposits of $1900 to an an IRA earning 5% compounded annually for 14 years. At the end of the 14 years Bil retires. a) What was the value of his IRA at the end of 14...
Study smarter with the SolutionInn App