In science and engineering, the parts-per notation is a set of pseudo-units to describe small values of miscellaneous dimensionless quantities, e.g. mole fraction or mass fraction. Since these fractions are quantity-per-quantity measures, they are pure numbers with no associated units of measurement. Commonly used are parts-per-million (ppm, 10−6), parts-per-billion (ppb, 10−9), parts-per-trillion (ppt, 10−12) and parts-per-quadrillion (ppq, 10−15). This notation is not part of the International System of Units (SI) system and its meaning is ambiguous.
i'm trying to complete my notets from my calculus II class. my professor showed us how to do the following integral using integration by parts but I'm not following his reasoning could some one fill me in on what I'm missing. thanks in advance.
\int^{\pi}_03x\sin\frac{x}{2}\\{dx}
let \...
Does anyone know what tools are available to cut a metal like aluminium in very small parts and to join two parts together and still get a neat finish?
ok i`m really struggling with the concept.
I've been asked to find the indefinite integral of;
\int \frac{x^2}{(2+ x^3)} dx
so before i beg for the answer could someone confirm that i`ve got the right rule to solve this;
\int u(x) v'(x) = [ u(x) v(x)] - \int v(x) u'(x)
if this...
I'm having a tough time trying to do integration by parts with one of my limits being infinity. My Integral looks like:
\int_0^\infty x^z e^{-x} dx with z = \frac{-1}{\pi}
Now if I let u = e^{-x} and dv = x^z dx,
I will have: du = -e^{-x} dx and v = \frac{1}{z + 1} x^{z + 1}
and...
I've got a function \int e^{-x}sinx dx
From what I know, only functions which has one or more products with a finite number of successive differentials can be evaluated using integration by parts. Because for \int v du in our choice of du, we want to cut down on the number of times we have...
i have to integrate the next:
(x^2)(e^x)dx/((x+2)^2)
It should be done by parts.
How I can simplify it?
Is (4x+4) (e^x) dx/(x+2)^2 easier to be integrated?
I don't think anyone in class understands it, we went over it so quick. The only thing I seem to get is that uv - (integral) vdu = (integral) udv. You are supposed to assign u, v, dv and du, but how do you know which is u and which is v? What is the difference between du and dv? Are you...
I have never done this before, but what programs are available out there so that i can extract certain parts from a movie in .mpeg or .avi format?
Like in soundforge i can open an audio file and extract any waveform and copy it to a new window and process it, can i do the same for a video...
I am usually alright once I figure out how to split up the integral into
u:
du:
v:
dv:
so i can simply do
uv-\int v*du but I keep messing up on there I will post some examples if I can find them and if someone could help me that would be great
\int (ln(x))^2
I just can't seem to grasp this! I have no problems finding out if a function let's say x-2x^2 is an even or odd function, but when the function is defined differently along different part along the x-axis then I don't understand anything! This function:
f(x)=\left\{\begin{array}{cc}0 &\mbox{...
Hi, I've actually got a problem here.
How do I evaluate
\int e^x^3 x^2 dx
I have problem when doing integration by parts of finding \int v du since if I integrate v du, i'll get another expression which i have to integrate by parts again, and this goes on and on !
(its meant to...
i will use "\int" as integral signs, cause latex seems to be down.
uv - \int v*du
\int 8x^2cos(2x)*dx
u = 8x^2
du = 16x*dx
dx = 1/16
dv = cos(2x)
v = 1/2sin(2x)
plug in what i found for the formula
8x^2*1/2*sin(2x) - \int 1/2*sin(2x)*16x
take out the 1/2, because it's a...
hey i was wondering if anybody could show me how to do a problem that contains multiple parts:
55. A 3.00 kg block starts from rest at the top of a 30.0° incline and accelerates uniformly down the incline, moving 2.00 m in 1.50 s.
a. Find the magnitude of the acceleration of the...
Ok so I was attempting to solve an integration by parts problem and somewhere along the line I got stuck. Here's the problem:
\int^{\infty}_{2} {x^2 e^{-x} - 2xe^{-x}
After using integration by parts twice I came up with this:
2xe^{-x} - x^{2}e^{-x} + 2e^{-x} \vert^{\infty}_{2}
But...
Do anybody know the radius of an electron, proton, or neutron? I understand there are smaller things like quarks, and everything, but as a general size, does anybody know the radius of these parts of an atom?
\int 4x cos(2x)
using integration by parts...
u=4x
du= 4
dv=cos(2x)
v=cos(x)sin(x)
using the formula uv - \intv*du...
4x*cos(x)sin(x) - \intcos(x)sin(x)*4x
hmm i can't seem to finish this problem, can someone help? and am i doing it correctly so far?
hi, i would like help on a problem i am currently stuck on.
\int(e^x)/(1+e^(2x))dx <-- it's suppose to be \int (e^x)/(1+e^(2x))dx
using integration by parts, here's what i done:
u=e^x
du=e^x
dv=(1+e^(2x))
v = (need to use anti-differentiation, which i don't remeber...)
can i...
I'm real stuck with this problem of mine in The Calculus 7 by Leithold
\int arctan \sqrt{x} dx
Since there is no elementary formula for integration of an inverse trigo function, we cannot manipulate the integrand in such a way as to integrate easily with one step of Integration by...
has anyone here ever built a crystal radio? what parts would i need and where can i get them? in the physics forum they said one could be constructed to run off the radio waves themselves, which is the kind i would like to build. thanks
I'm stuck on this one problem. If anyone can aid me, I would greatly appericate it.
http://home.comcast.net/~personalcomp1/Impossible_calc_problem.JPG
I scaned in the problem sooo there's the place to view it.
Thanks
Tommorrow I have a practical on the dissection of a fetal pig I have been doing all week. Today I removed the brain- intact out of the pig. I have completely forgotten a couple parts of the brain- and would like to remember them when I have the test tommorrow. Since the pig brain is similair in...
this is a list of parts i plan to use in my new pc what do you think?
asus a7n-8x-x n- vidia motherboard
amd anthlon xp2500 plus 333 fsb
akasa silver mountain heavy duty fan
2 sticks pc2100 ddr dimm memory
60 gb hitachi deskstar 7k250 7200rpm ide hdd
screwless midi tower 350 watt psu
i...
I've included a picture.
Two charges Qc and -Qc(Qc = 4 µC) are fixed on the x-axis at x = -7 cm and x = 7 cm, respectively. A third charge Qb = 5 µC is fixed at the origin.
A particle with charge q = 0.3 µC and mass m = 5 g is placed on the y-axis at y = 14 cm and released. There is no...
I've included a picture.
Two charges Qc and -Qc(Qc = 4 µC) are fixed on the x-axis at x = -7 cm and x = 7 cm, respectively. A third charge Qb = 5 µC is fixed at the origin.
A particle with charge q = 0.3 µC and mass m = 5 g is placed on the y-axis at y = 14 cm and released. There is no...
Hey all--
I had an Integration of Parts quiz today and got stuck on a few problems-- was wondering if you could explain the steps involved in solving these integrals:
int( (sin(3x))^3 * (cos(3x))^3 dx)
and
int( (tan(4x))^4) dx)
thanks!
How come when manufacturers pre-size things for the mould, they ALWAYS come up with such random numbers!
For example today, i was looking for a new CD rack, and all i saw were things like "holds 64 cds", "can store up to 92 cds", holds "140 cds and 14 videos", holds "312 cds and 41 DVDs"...
I am studying for a midterm, was browsing over an old midterm and found this question
\int e^{3x} \cos{(x)}\; dx
Can't figure it out, help would be appreciated
I have no mechanical parts but I take you for a ride.
I won't be ridden in a desert or on a mountainside.
Each time the ride is different - no two are ever the same.
Some are wild and treacherous and some are very tame.
What am I?
A picture has been included for your viewing pleasure.
A stick of uniform density with mass M = 7.7 kg and length L = 0.6 m is pivoted about an axle which is perpendicular to its length and located 0.16 m from one end. Ignore any friction between the stick and the axle...
Can someone explain the notation of the parts formula pls.,.. it's very very confusing.
int [u dv] = uv - int [v du]
...
very confuzing, ... made me think it was the product formula lol. And I still don't understand what does dv and dx and all these d stuff standfor in integrals...
Hi can anyone help me solve this integral, I'm having trouble with this one?
the integral is: int(sin^{8}x.dx)->upper limit=pi ->lower limit=0.
Q) Evaluate the integral exactly using integration by parts to get a reduction formulae for int(sin^{n}x.dx)