Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Determine whether each integral is convergent or divergent. Evaluate those that are convergent.
$ \displaystyle \int_0^5 \frac{w}{w - 2}\ dw $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Wen Zheng
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 2 / BC
Chapter 7
Techniques of Integration
Section 8
Improper Integrals
Integration Techniques
Campbell University
Harvey Mudd College
University of Nottingham
Lectures
01:53
In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.
27:53
In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.
04:04
Determine whether each int…
0:00
Determine whether the inte…
03:24
02:26
02:07
01:50
02:55
05:17
03:29
03:56
$5-40$ Determine whether e…
05:40
03:25
04:25
03:13
05:13
04:41
The problem is determine whether each integral is converted or diverted and violated those that are converted for this improper, integral definition. This is equal to 0 from 0 to 2, w over w minus 2 d, w integral from 2 to 5, w over w minus 2 d. W we computed the first integral this integral by definition, this is equal to the limit a goes to to integral, from 0 to a w over w minus 2 d, w located as definite integrale integral equals. This is 0 to a. We can rewrite this his function as w minus 2 over w minus 2 plus 2 over w minus 2. This is equal to first thing is 1 to this plus 2 times n absolute value of w minus 2 point from 80 to a this is equal to a plus 2 times: l n 2 minus a minus 2 times. L n to s on a goes to 2, is it from left hand, side and a goes to 2 from right hand, side on 2 minus a goes to negative infinity. So this answer goes to negative infinity point. Hence intent.
View More Answers From This Book
Find Another Textbook
06:03
Find the point on the parabola y = 2 at which the tangent line cuts from the…
04:21
point)Find the value of the constant C for which the integraldx Vx2 …
01:48
hospital specializes in treating overweight patients These patients have we…
02:09
Tha number mutinte catrrtng obsered notortal tanldtng &7 Ir resuntino ec…
02:40
Question# 3: A random process Y(t) has the power spectral density 16 Syr(w) …
02:00
A food chemist analyzed the calorie content for a popular type of chocolate …
04:45
Evaluate the integral where R is the integral region bounded by the parabola…
1 Find an equation for the sinusoidal graph 1i that is shown below. Period: …
10:47
Exercises Find the points of inflection for each of the following curves y =…
01:31
The following stem-and-leaf displays - the FALL Stem unit = ten 2019 test sc…
