The integral a f(x) dx is improper because the interval [a, ) is infinite. If
Question:
The integral ∫∞a f(x) dx is improper because the interval [a, ∞) is infinite. If f has an infinite discontinuity at a, then the integral is improper for a second reason. In this case we evaluate the integral by expressing it as a sum of improper integrals of Type 2 and Type 1 as follows:
Evaluate the given integral if it is convergent.
Transcribed Image Text:
dx + c > a %3|
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
Now 3 1 dx dx h ...View the full answer
Answered By
Deepak Pal
Hi there! Are you looking for a committed, reliable, and enthusiastic tutor? Well, teaching and learning are more of a second nature to me, having been raised by parents who are both teachers. I have done plenty of studying and lots of learning on many exciting and challenging topics. All these experiences have influenced my decision to take on the teaching role in various capacities. As a tutor, I am looking forward to getting to understand your needs and helping you achieve your academic goals. I'm highly flexible and contactable. I am available to work on short notice since I only prefer to work with very small and select groups of students. Areas of interest: Business, accounting, Project management, sociology, technology, computers, English, linguistics, media, philosophy, political science, statistics, data science, Excel, psychology, art, history, health education, gender studies, cultural studies, ethics, religion. I am also decent with math(s) & Programming. If you have a project you think I can take on, please feel welcome to invite me, and I'm going to check it out!
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
Question Posted:
Students also viewed these Mathematics questions
-
Because f(t) = ln t has an infinite discontinuity at t = 0 it might be assumed that {ln t} does not exist; however, this is incorrect. The point of this problem to guide you through the formal steps...
-
Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area. L (x + 3)/4- x dx
-
Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area. L, (x + 3)/4 x dx -2
-
Establishing causality is difficult, whether conclusions have been derived inductively or deductively. (a) Explain and elaborate on the implications of this statement. (b) Why is ascribing causality...
-
Use the Jacobi method to solve the linear systems in Exercise 2, with TOL = 103 in the l norm. In Exercise 2 a. 4x1 + x2 x3 = 5, x1 + 3x2 + x3 = 4, 2x1 + 2x2 + 5x3 = 1. b. 2x1+ x2 + 1/2 x3 = 4,...
-
Education is an example of a positive externality: acquiring more education benefits the individual student and having a more highly educated work force is good for the economy as a whole. The...
-
a. Distinguish between ratio and difference estimation. b. What conditions are necessary to use these techniques?
-
Calculate the net present value (NPV) for the following 20-year projects. Comment on the acceptability of each. Assume that the firm has an opportunity cost of 14%. a. Initial investment is $10,000;...
-
Cal student Karl is present-focused with B = 0.5 and 8 = 1. That is, on each day t, he maximizes Ut = ut + S-lur = ut + Sut+1 + 8 ut+2 + 8 ut+3 + ..., T=t+1 where ut is the instantaneous utility from...
-
Co B is the issuer of a tranche of mandatorily redeemable convertible preference shares (MRCPS) that was issued on the following terms: Required 1. Identify the elements included in the MRCPS. 2....
-
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis. y = e x , y = e x , x = 1; about the y-axis
-
Evaluate the integral. dx x* - 16
-
Locate and provide the URLs of three job boards that provide interactive forms for creating a rsum automatically. In a brief memo to your instructor, describe the strengths and weaknesses of each....
-
Design a Mealy machine that has the following behavior: Inputs = {0, 1} Outputs = {0, 1} The machine outputs 1 every time it detects a pattern "1010" or "1011" otherwise it outputs O. Assume...
-
Indicate what would be output to the console when the following code fragment is executed. public class Foo { } public static int num = 5; public Foo (int x) { num = x; } public static void main...
-
The ABC Company manufactures and sells a seasonal product that has peak sales in the third quarter. The following information concerns operations for year 2- the coming year and for the first two...
-
A finite state machine M = {S, P, O, v, w} has P = 0 = {1,2,3} and is determined by the following state diagram: Start 2,11 3,3 63 3.2 3,1 (1) (1 point) Find the output for the input string x =...
-
Write assembly code which will compute the value x(3y + 6z + 10). x, y, and z are 64-bit integer values. Assume that x is stored in %rdi, y is stored in %rsi, and z is stored in %rdx. The output...
-
For its three investment centres, Stahl Company accumulates the following data: Calculate the return on investment (ROI) for each centre. Centre I Centre II $2,000,000$4,000,000 2,000,000 8,000,000...
-
Accounting policies and practices that are most important to the portrayal of the companys financial condition and results, and require managements most difficult, subjective, or complex judgments...
-
For what values of x does f(x) = x - 2 cos x have a horizontal tangent line?
-
Match the graphs of the functions in ad with the graphs of their derivatives in AD. Functions a-d (b) (d) Derivatives A-D UUJUIUI (A) (B) -27 (D)
-
An object oscillates along a vertical line, and its position in centimeters is given by y(t) = 30 (sin t - 1), where t 0 is measured in seconds and y is positive in the upward direction. a. Graph...
-
9 1. Compute the indefinite integral. +1 (3+ 4+4) dr.
-
Sarah Jackson Antiques issued its 11%, 10-year bonds payable at a price of $338,220 (face value is $400,000). The company uses the straight-line amortization method for the bond discount or premium....
-
Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 6 hours, you now have 6 gallons left. If x is the number of hours you have been driving, then y is the number of...
Study smarter with the SolutionInn App