Evaluate the integral cot x csc2x dx by parts in two different ways. (a) By differentiating cot

Question:

Evaluate the integral ∫cot x csc2x dx by parts in two different ways.
(a) By differentiating cot x
(b) By differentiating csc x
(c) Show that the two results are equivalent up to a constant.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 10:21 AM

See More Questions

Evaluate the integral by making the given substitution. a. e-x dx, u = -x b. x2 (x3 + 1) dx, u = x3 +1 c. cos3 sin d, u = cos
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. a. x cos 5x dx b. te-3t dt c. (x2 +2x) cos x dx
Fill in the missing amounts for the following bank reconciliation: Practice Exercise3 Bank Reconciliation March 31,20 Bank Statement Balance $3,764.00 Add: Deposit in transit $4,031.00 Deduct:...
Use a multiplicative model to forecast values for the next eight periods of the following timeseries. t 12 3 456 78 9 10 101 125 121 110 145 165 160 154 186 210
What strategies do enterprises deploy to navigate the intricate terrain of anti-corruption compliance, integrating robust internal controls, due diligence protocols, and transparency mechanisms to...
Nissan is changing the design of one of its highest-selling cars, the Murano, and is conducting an internet survey to determine whether the design change would affect customer perception of the car...
Fairbanks Corporation purchased 400 ordinary shares of Sherman Inc. as a trading investment for $13,200. During the year, Sherman paid a cash dividend of $3.25 per share. At year-end, Sherman shares...
Identify and briefly explain 3 key differences between a Real Time traffic flow (e.g., video streaming traffic) and a regular data traffic flow (e.g., file downloading traffic). Why was there a need...
a. Using the data in Figure 8.41, illustrate how the tables in the dimensional model shown in Figure 8.42 would be populated. b. Create a dimensional model containing an aggregated fact table, where...
Find the volume of the solid obtained by revolving the region under the graph of y = sin(x/2) from x = 0 to x = 2 about the y-axis.
If p(x) is a polynomial of degree n and G1, G2, .... Gn+1, are successive anti-derivatives of a function g, then, by repeated integration by parts. p(x) g(x) dx = p(x) G1(x) - p' (x) G2(x) + p''(x)...
True Or False Recovery for trespass to chattels is allowed for the owner but not the possessor of property.
__________is a measure of intelligence that takes into account a persons chronological and mental ages.
An experimenter is interested in studying the relationship between hunger and aggression. She decides that she will measure aggression by counting the number of times a participant will hit a...
Match each of the following terms with its definition: 1. Zygote 2. Gene 3. Chromosome a. Smallest unit through which genetic information is passed. b. Fertilized egg Rod-shaped structure containing...
__________ __________ __________theory states that the more a person analyzes a statement, the more likely he or she is to remember it later.
__________ is the process of retrieving a specific item from memory.
The ideal gas equation is pV = 1/3 Nm < c 2 >. a. State the meaning of the symbols N, m and < c 2 >. b. A cylinder of helium-4 contains gas with volume 4.1 10 4 cm 3 at a pressure of 6.0 10 5 Pa...
A researcher reports a significant two-way between-subjects ANOVA, F(3, 40) = 2.96. State the decision to retain or reject the null hypothesis for this test.
For any normal distribution, find the probability that the random variable lies within two standard deviations of the mean.
The hydrogen atom is composed of one proton in the nucleus and one electron, which moves about the nucleus. In the quantum theory of atomic structure, it is assumed that the electron does not move in...
The hydrogen atom is composed of one proton in the nucleus and one electron, which moves about the nucleus. In the quantum theory of atomic structure, it is assumed that the electron does not move in...
An analysis of the activities needed to produce each product has been conducted. In addition, estimates have been developed. These are in the table below. Match the OH rate with the activity for each...
Service business 1. You are required to form a small business (Service business) 2. Explain the name and nature of the business, location, mission and objectives of the company. Assume the business...
Cost of utilities Cost per month (In dollars) $20,000 4. The cost of utilities depends on how many wards the hospital needs to use during a particular month. During months with activity under 2,000...

Evaluate the integral cot x csc2x dx by parts in two different ways. (a) By differentiating cot

Question:

Step by Step Answer:

a u cot x dv csc 2 x dx du csc 2 x dx v cot x cot x csc 2 x dx cot 2 x co...View the full answer

Calculus

Students also viewed these Calculus questions