Use trigonometric substitution to verify the integration formulas given in Theorem 8.2. Data from in Theorem 8.2
Question:
Use trigonometric substitution to verify the integration formulas given in Theorem 8.2.
Data from in Theorem 8.2
Transcribed Image Text:
THEOREM 8.2 Special Integration Formulas (a > 0) •√√₁² Sv √u². 1. 2. ·S. 3. a² − u² du - И = =(₁² a² arcsin + + a = 1/2/(₁+√/u² a² du = u√a² u² + a² du = u² + C a² − a² In|u + √√u² − a²|) + C₁ u > a - = 1/2 (₁₁√u² + a² + a² In]u + √√u² + a²]) + € C
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
Let u a sin 0 du a cos 0 de a u a cos 0 cos 20 2 0 sin 20C0 ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
(a) Use trigonometric substitution to verify that (b) Use the figure to give trigonometric interpretations of both terms on the right side of the equation in part (a). Va? - dt =a sin (x/a) + x/a? x2
-
In Exercises use the method of partial fractions to verify the integration formula. S X (a + bx) dx = 1 a ba + bx x1) + + In|a + bx| + C
-
In Exercises use the method of partial fractions to verify the integration formula. 1 x(a + bx) dx 1 ax - ++ C (a + bx In
-
Which of the following pairs of steps in the programming process is in the correct order? a. Code the program, plan the logic b. Test the program, translate it into machine language c. Put the...
-
A tarantula has two body parts. The anterior part of the body is covered above by a shell, or carapace. In the paper "Reproductive Biology of Uruguayan Theraphosids" (The Journal of Arachnology, Vol....
-
Refer to the information for Morning Smiles Coffee Company on the previous page. Morning Smiles Coffee Company manufactures Stoneware French Press coffee makers and sold 8,000 coffee makers during...
-
Describe an experiment, and give the necessary equations for measurement of the through-thickness creep compliance, \(S_{32}(t)\), of a specially orthotropic, transversely isotropic lamina. The plate...
-
Refer to the data in E24-17. Requirements 1. Calculate each divisions RI. Interpret your results. 2. Calculate each divisions EVA. Interpret your results.
-
a- What is the output of implementing the class Entity2 in the following code class Entity1 { public Entity1() { } System.out.println("Entity1's no-arg constructor is invoked"); } class Entity3...
-
Some distant astronomical objects, called quasars, are receding from us at half the speed of light (or greater). What is the speed of the light we receive from these quasars?
-
In Exercises find the area of the region bounded by the graphs of the equations. y = cos x, y = sin x cos x, X = TT 2' - x= 4
-
Two circles of radius 3, with centers at (-2, 0) and (2, 0), intersect as shown in the figure. Find the area of the shaded region. 4 + -6 -4-3-2 li 2 -4- H 2 3 4 6
-
The temperature near the center of the Sun is thought to be 15 million degrees Celsius (1.5 x 10 7 C). Through what voltage must a singly charged ion be accelerated to have the same energy as the...
-
Explain in detail all the empirical methods and techniques for generating and collecting qualitative data? Q7. Explain in detail all the empirical methods and techniques for generating and...
-
To determine whether the series absolutely convergent, or divergent a description in the form write it in a similar form, aki where k begins at 2. This is not strictly necessary, but makes the k = 2...
-
Explain what an information system is and describe the functions of an information system. Identify the components of an information system. Explain the difference between data and information. List...
-
When determining whether to make a mortgage loan to a homebuyer, lenders consider the 4 C's of lending: Capacity, Capital, Credit and Collateral. Select the term that fits the description below. Do...
-
identify which priorities aren't delivering value for CANNTRUST operation and what performance gaps exist in then please use a polar diagram and demonstrate with polar diagram. demonstrate the answer...
-
Why are public relations-type marketing communications important to the overall success of a marketing communications effort?
-
d) For die casting processes: 1. What are the most common metals processed using die casting and discuss why other metals are not commonly die casted? 2. Which die casting machines usually have a...
-
Reflected about the y-axis In problem, write the function whose graph is the graph of y = x 3 , but is:
-
In problem, answer the questions about the given function. f(x) = 2x 2 - x - 1 (a) Is the point ( -1, 2) on the graph of f? (b) If x = -2, what is f (x)? What point is on the graph of f? (c) If f(x)...
-
An island is 2 miles from the nearest point P on a straight shoreline. A town is 12 miles down the shore from P. See the illustration. (a) If a person can row a boat at an average speed of 3 miles...
-
Olive Company makes silver belt buckles. The company's master budget appears in the first column of the table. Required: Complete the table by preparing Olive's flexible budget for 5,500, 7,500, and...
-
Christmas Anytime issues $810,000 of 7% bonds, due in 20 years, with interest payable semiannually on June 30 and December 31 each year. Calculate the issue price of a bond and complete the first...
-
Assume that the City of Coyote has produced its financial statements for December 31, 2024, and the year then ended. The city's general fund was only used to monitor education and parks. Its capital...
Study smarter with the SolutionInn App