Question: improper integral int _ 4 ^ ( infty ) ( sqrt ( x ^ ( 2 ) - 1 6 ) )

improper integral \int_4^(\infty )(\sqrt(x^(2)-16))/(x^(3))dx

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

hello good morning colleagues engineers I would like you to help me with an exercise on the topic of improper integral \ int _0 ^ {\ infty} \: \ left (x-1 \ right) e ^ {- x} dx help please

Q:

Use the Integral Test to determine whether the or divergent series is convergent sum n 1 infty n e 4 n Evaluate the following integral int 1 infty x e 4 x d x Since the integral finite the series is

Q:

where B = C = and f ( u) = d) With the information found in (c), we find that [c e4/t's 74 dt = f(u)du = e) Hence, [c e4/+3 lim T-a Jb dt = lim f(u)du - Write +infty if the limit is too and -infty if...

Q:

as integram 1 Lady dxdy 1 xy 0 0 is an improper integral and could be defined as the limit of double integrals over the rectangle 0 t 0 t t 1 But if we expand the integrand as a geometric series we...

Q:

Calculate \displaystyle \int_1^2 3x^2 \ln x\ dx. 1 2 3x2 lnxdx. Q3 Problem 2 10 Points Calculate \displaystyle \int (2x^2-7) e^{3x}\ dx. (2x2 7)e3x dx. Q4 Problem 3 10 Points Find the partial...

Q:

An inverted cone base above the vertex is 5 m high and has a base radius of 1 2 m If the tank is full how much work is required to pump the water to a level 4 m above the top of the tank Set up the...

Q:

Q4 (10 points) f(x) The notation f(x) ~ g(x) means that lim = 1. The x-cog(x) purpose of this question is to show that X dt ~ In(t) In(x) (a) (4 points) Determine whether the improper integral dx...

Q:

Suppose we don't realize that int - 4 ^ 3 1 / ( ( x + 3 ) ^ 2 ) * da is an improper integral and we just went ahead and applied FTC part 2 : integrate 1 / ( ( x + 3 ) ^ 2 ) dx from - 4 to 3 = - 1 / (...

Q:

1) Determine whether the geometric series is convergent or divergent. If convergent, find its sum. sum n=0 ^ infty 3^ n+1 (-2)^ n 2) Use the integral test to determine if the series is convergent or...

Q:

please calculate me 1, 2, 3, 4, 5. Please write clearly for me. Thanks. 14 Tue 15 Thu Forum Grapher Calculus II : 15 Improper Integrals The lesson is long and should be split into two or three...

Q:

About how close to each other are two objects on the Moon that can just barely be resolved by the 5.08-m- (200-in.) - diameter Mount Palomar reflecting telescope? (Use a wavelength of 520 nm.)

Q:

Information on four independent companies follows. Calculate the correct amount for each question mark. Ophelia $15,000 $$? 11700 Laertes Fortinbras Claudius 10,600 Sales Total variable cost 9,750...

Q:

6 a Work out the first four terms of the sequences with the given nth term. b C In which of the sequences in part a are the terms increasing? c In which of the sequences in part a are the terms...

Q:

The owner of a restaurant serving continental-style dishes has a business objective to learn more about customer demand patterns over the weekend (Friday through Sunday). The data of 630 clients on...