Evaluate the integral using the indicated trigonometric substitution. Sketch and label the associated right triangle. a.
Question:
a. ∫ dx/(x2 √4 - x2) ................... x = 2sinθ
b. ∫ √(x2 - 4)/x dx..................... x = 2sec θ
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
a Let x 2 sin where 2 2 Then dx 2 cos d and 4 x 2 4 4sin 2 4cos 2 2cos 2cos Thus dxx24x2 ...View the full answer
Answered By
Fahmin Arakkal
Tutoring and Contributing expert question and answers to teachers and students.
Primarily oversees the Heat and Mass Transfer contents presented on websites and blogs.
Responsible for Creating, Editing, Updating all contents related Chemical Engineering in
latex language
4.40+
8+ Reviews
22+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
Evaluate the integral using integration by parts with the indicated choices of u and dv. x2 ln x dx u = ln x dv = x2 dx
-
Evaluate the integral using integration by parts with the indicated choices of u and dv. * dx; %3 , dv e2* dx
-
Evaluate the integral using integration by parts with the indicated choices of u and dv. Vx dx || Vx In x dx; u = In x, dv
-
The Qantas Group includes a sustainability report in its annual report. What key performance indicators are included in this report? Explain the different stakeholders that would be interested in...
-
On May 31, 2014, Iceflow Technologies Inc. borrowed $400,000 from a bank by signing a four-year installment note bearing interest at 14%. The terms of the note require equal semi-annual payments each...
-
Find the area of the surface. The surface with parametric equations x = u 2 , y = uv, z = 1/2v 2 , 0 < u < 1, 0 < v < 2
-
Explain forward and backward schedulings and each ones advantage. LO.1
-
Alsup Consulting sometimes performs services for which it receives payment at the conclusion of the engagement, up to six months after services commence. Alsup recognizes service revenue for...
-
a $1,000 face value coupon bond will pay 5 percent interest annually for 12 years. What is the percentage change in the price of this bond if the market yield rises to 6 percent from the current...
-
Create an application, using the following names for the solution and project, respectively: Glasgow Solution and Glasgow Project. Save the application in the VB2015\Chap11 folder. Create the...
-
Prove the formula, where and are positive integers. a. b. sin mx cos nx dx0 2 0 if m n ifm_n
-
(a) Use trigonometric substitution to show that dx/(x2+a2) = ln(x+(x2+a2) + C (b) Use the hyperbolic substitution to show that dx/(x2 + a2) = sinh-1(x/a) + C These formulas are connected by formula...
-
Determine the maximum deflection of the 50 -mm-diameter A-36 steel shaft. 500 mm 800 mm 1200 mm 300 N 300 N 600 N 600 N B
-
Glen County manages a waste-to-energy facility that burns 2,000 tons of trash per day and generates over \($20\) million in electricity annually while costing state and local taxpayers \($24\)...
-
Carry out a full decision analysis for Classical Reproductions Ltd, using the following information: Calculation of expected profit with perfect information Prior probabilities for the various events...
-
T and B lymphocytes are normal components of the immune system, but in multiple sclerosis they become autoreactive and attack the central nervous system. What triggers the autoimmune process? One...
-
Prove (11.32) . E (Yi,k | Zi = 0, = e) = E (Yi,k | i = 1, = e) = E (Yi,k | Ti = e), k = 1,2. (11.32)
-
University Medical Center needs to move from its existing facility to a new and larger facility five miles away from its current location. Due to construction delays, however, much of the new...
-
Interview someone from a culture different from your own, and learn at least three ways in which nonverbal codes differ from the environment where you were raised. Together, develop a list of ways...
-
Using thermodynamic data from Appendix 4, calculate G at 258C for the process: 2SO 2 (g) + O 2 (g) 88n 2SO 3 (g) where all gases are at 1.00 atm pressure. Also calculate DG8 at 258C for this same...
-
Digital technology is facilitating new kinds of interactions between market, civil, and state sector actors. What are the benefits and risks of digital technology in enhancing corporate...
-
Find the limit or show that it does not exist. /1 + 4x6 lim 2 x3 x -00
-
Find an equation of the tangent line to the curve at the given point. y = 2x 3 - x 2 + 2, (1, 3)
-
Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically. 1 +p lim p>-1 1 + p 15
-
Accounting changes fall into one of three categories. Identify and explain these categories and give an example of each one.
-
Machinery is purchased on May 15, 2015 for $120,000 with a $10,000 salvage value and a five year life. The half year convention is followed. What method of depreciation will give the highest amount...
-
Flint Corporation was organized on January 1, 2020. It is authorized to issue 14,000 shares of 8%, $100 par value preferred stock, and 514,000 shares of no-par common stock with a stated value of $2...
Study smarter with the SolutionInn App