Occasionally, two different substitutions do the job. Use each substitution to evaluate the following integrals. sec

Question:

Occasionally, two different substitutions do the job. Use each substitution to evaluate the following integrals.

∫ sec³ θ tan θ dθ (u = cos θ and θ = sec θ)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Mar 05, 2019 12:47 PM

See More Questions

Use the trigonometric substitution u = a tan , where - / 2 < < / 2 and a > 0, to simplify the expression a2 + u2.
Use the Substitution Theorem 10.1.12 to evaluate the following integrals: (a) (b) (c) (d) VI-dt
Use substitution to find the indefinite integrals of the following function. ex / 1 + ex
In Exercises use a computer algebra system to analyze the graph of the function. Label any extrema and/or asymptotes that exist. f(x) || 1 xx2
Refer to the information for Lu Corp. in BE13-18 and BE13-19. Assume that the increase in the asset retirement obligation in 2014 related to the production of oil in 2014 was $54,027. Prepare any...
In Problems 17 through 34, use the method of variation of parameters (and perhaps a computer algebra system) to solve the initial value problem In each problem we provide the matrix exponential e At...
A public utility purchases a gas-powered electric generator as part of an expansion program. It is expected to be useful, with proper maintenance, for an estimated 30 years. The cost is $17 million,...
On January 2, 2011, Pet Corporation enters into a business combination with Sea Corporation in which Sea is dissolved. Pet pays $1,650,000 for Sea, the consideration consisting of 66,000 shares of...
How do individuals navigate the balance between vulnerability and resilience, recognizing the transformative potential of vulnerability while harnessing resilience to bounce back from setbacks?
Match the following DEs to the scenario which best describes them. dA -0.25A - 25 Choose... dt dA 25 + 0.25A Choose... dt dA 0.25A Choose... dt dA dt 25 Choose... dA = 0.25A 25 dt Choose...
Use the Substitution Rule to prove that and sin (2ax) sin? ax dx 2 4a - sin (2ax) + C. cos? ax dx 2 4a
Occasionally, two different substitutions do the job. Use each substitution to evaluate the following integrals. (u = x + a and u = x + a) xVx + a dx; a > 0
What is an information system? What is the role of feedback in a system?
Brandon, an individual, began business two years ago. In the current year, Brandon sold the following business assets: Asset Original Cost Accumulated Depreciation Sales Price Machinery 30,000 7,000...
Suppose that a two-factor model, where the factors are the market return (Factor 1) and the growth rate of industrial production (Factor 2), correctly describes the return generating processes of all...
Ruby is injured in a car accident, which was Bubba's fault. She sued him for $150,000 alleging negligence, which involves a question of state law. Ruby is a citizen of North Carolina, while Bubba is...
A factory made 500 jars of peanut butter. 185 of the jars contained creamy peanut butter. What percentage of the jars of peanut butter were creamy?
What is the market price of a zero-coupon bond (that is, a bond that will not pay any coupon payments) that will mature in 10 years and has the face value of $1,000? Assume the yield to maturity is...
What is the days' sales in inventory ratio?
Gopher, Inc. developing its upcoming budgeted Costs of Quality (COQ) with the following information: Expense Item Budget Raw Materials Inspection $ 15,000 EPA Fine 200,000 Design Engineering 15,000...
If sin x = 1/3 and sec y = 5/4 , where x and y lie between 0 and /2, evaluate the expression. sin(x y)
Prove the identity. (sin x + cos x) 2 = 1 + sin 2x
Prove the identity. sec y cos y = tan y sin y
You are the merchandise manager for Best Buy electronics and have been asked to expand the assortment of music products. Industry trends suggest more people are downloading their music online. How...
What impact has incurring major external debt by LDCs had on global and country income distribution? What impact have attempts to reduce the debt crisis had on income distribution?
What are the signs of potential aspiration in: (i) the medical history, (ii) parent case history, and (iii) clinical observation? How does this differ in a premature infant compared with a term...

Occasionally, two different substitutions do the job. Use each substitution to evaluate the following integrals. sec

Question:

Step by Step Answer:

If we let u cos then du sin d Substitu...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions