IntegRate was a software product written in C++ based on a pipe-lined high performance architecture for handling batch rating of telecommunications using call detail records (CDR), developed by the German software company Solution 42.
Homework Statement
Integrate: dx/sqrt(x^2+2x +5)
Homework Equations
refer to above
The Attempt at a Solution
I can integrate the equation dx/sqrt(1+x^2) using the rules
cosh^2 u - sinh^2 u = 1
cosh^2 u = 1+sinh^2 u
but i don't know where to start with this question...
Homework Statement
\Delta s=\int^{t_f}_{t_0}\sqrt{v_0^2-2v_0\sin\theta gt+g^2t^2}~dt
Can someone tell me how to integrate this? I am just an high-school sutdent and have basic integration knowledge.
Thanks in advance. :approve: Homework Equations
The Attempt at a Solution
Homework Statement
(1 / x * sqrt(4x^2 - 1))dxHomework Equations
done by parts/trig?The Attempt at a Solution
1 = c
2x = b
sqrt(4x^2 - 1) = a
sin(theta) = 2x
sin(theta) / 2 = x
-(1/2)*cos(theta) d(theta) = dx
cos(theta) = -2*sqrt(4x^2 - 1)
I am not sure what to do about the x?
Can I just...
How do you integrate this??
Integral of 3x^2 + (4-x^2)^(1/2) dx ??
I tried a u substitution for the 4-x^2 but what do you do with 3x^2? If someone could walk we through this, i'd greatly appreciate it...i hate being stuck on something so trivial in the middle of a problem.
What is the best way to integrate this??
What is the best way to integrate -250*cost*sin^2t dt ??
I'm looking in my old calc book and it says to integrate by parts-is this the only way to do it? When I try this it makes the integral even more complicated than it was to begin with.
Hello everyone, I'm having issues figuring out how you find the bounds of each of these graphs, I have the solution manual but I still don't see how they did it. For example:
The directions say to evaluate the double integral:http://img241.imageshack.us/img241/903/scan0001nx8.jpg
On the...
Homework Statement
Hi, i don't really know how I should go about this question. please help me.
Question:
Integrate the following equation:
I = (integration sign from 0 to 2 sqrt3) (x^3)/(16-x^2)^(1/2)
Homework Equations
The Attempt at a Solution
I tried to assign u and dv...
Stuck at the end of a double integral, still have to integrate ln(4+y^2)dy
Assuming I did the right first step. Original double integral is
x/(x^2+y^2)
Thanks!
integrate with a formula??
Homework Statement
dy / (1+y^2)
Homework Equations
The Attempt at a Solution
i tried using substitution technique but that did not yield the correct answer...
u = 1 + y^2
du = 2ydy
is there a formula i should be looking for maybe??
any help or...
Homework Statement
Find the following intergral...
Homework Equations
\int{\frac{-1}{(x^2+1)^2}dx}
The Attempt at a Solution
I can't get anywhere with this... any hints?
Homework Statement
\int {x}{e^{0.1x}} dx
Homework Equations
U-substitution, differentiating.
The Attempt at a Solution
We have \int {x}{e^{0.1x}} dx
Let u = 0.1x therefore du = 0.1 dx ==> dx = 10du
Substituting back into the equation and using the fact that x = 10u...
Is it POSSIBLE to integrate C++ with WITec Project 1.88? urgent call for help~ haha
hi everyone,
currently i am doing a project in which i have to extract date MANUALLY from the solfware. It will be VERY tiring because the number of data I have to extract is more than 1000 times! Moreover, I...
Hi,
There are different ways by which we can integrate function :
1. Substitution
2. Integration by parts
3. Trigonomtery
4. Partial functions
But how one know that which method to use ?
Please can anyone explain how to figure out the way of doing integration? I'll be really...
After reading http://en.wikipedia.org/wiki/Weierstrass_function it occurred to me that I could do the same thing to an integral:
\int \sum_{i=0}^\infty \frac{sin(\frac{x}{3^i})}{2^i} dx
= \sum_{i=0}^\infty \int \frac{sin(\frac{x}{3^i})}{2^i} dx
= \sum_{i=0}^\infty...
Homework Statement
Integrate [e^(-x)*sin(e^x)]dx ?
This is part of the work. I was actually rying to find the general solution to the differential equation y"+3y'+2y=sin(e^x) using the variation of the parameter method.
Homework Equations
Particular solution Y = u1(x)y1(x) +...
Hi, I've been asked to use polar coordinates and to integrate
\int\int_{A}^{} x^2 + y^2 + \sqrt{x^2 + y^2}dxdy
over the area A enclosed by the curve x^2 + y^2 = 4
I know
x=rcos(\theta)
y=rsin(\theta)
dxdy=rdrd\theta
So i think the integral can be written as
\int\int_{A}^{}...
Hi guys, i was doing some math qn and i found out that i am always integrating like x wrt x so u will get (x^2)/2 right? So i was wondering how do u like say integrate x wrt y?
\int_{0}^{2 \lambda} \cos({\frac{kx}{2}}) \cos({nx}) dx
I can't find my calc2 notes and it's killing me! This thing came up half way through the computation of the Fourier series of f(x) = A\cos({\frac{\pi x}{\lambda}})..and i can't remember how to do it!
I am very aware of the trig identity...
Could som1 please help me integrate arccos x by parts. I've done examples using integration by parts but they were all some form of multiplication, ie
y = xe^x, y = x sin x etc. I'm really unsure where to start with this problem :confused:
It has been about 2 years since i last did calculus but I am trying to get back into it so I am ready for college / don't kill myself because of boredom
I am having difficulty finding integrals of the form
\int{\frac{x^2}{x+a}dx}
This integral inparticular is:
\int{{\frac{x^2}{2x+2}dx}
I...
Hey. I've barely started learning about integration, but during an experiment we conducted for physics, the following came up:
\int {F\sin ^2 At} dt
How would i integrate that? I do understand that it would generally require that i show my working on the issue, but in this case, its a...
\int{ \frac{x^2}{\sqrt{4-x^2}} }
How would I do that?
I tried integrating by parts, letting u = x^2 and v' = 1/sqrt(4-x^2) and many other combinations, but I just can't seem to get the result.
\int{\frac{x^3+x^2+x-1}{x^2+2x+2}dx}
I divided the polynomails and got:
\int{(x-1)dx}+\int{\frac{x+1}{x^2+2x+2}dx}
This becomes:
x^2-x+\int{\frac{x}{x^+2x+2}dx}+\arctan{(x+2)}
If I've done this right, how do I integrate the third term?
The arctan should have the (x+2) in brackets but I'm...
Hi
Can anyone pls suggest the trick to do integration by parts such as:
Intergration {(1/x) (e^-cx) }dx.
Which function normally we should take as first and second function.
Is there a rule to decide on it.
Plz reply
thanks
what is the integral of 13e^(-0.2x) sinx?
i'm using the solving for the unknown integral method.
i did this twice (each time i took the integral twice, moved the unknown integral to the same side, and divided by 13.52?? I still cannot figure out what i am doing wrong.
solve for the...
I feel so :cry: doing this problem.
PLEASE HELP! AND TEACH ME How TO DO IT.
My question is this.
use the substitution x=2tan(y)
(37dx)/(x^2*sqrt(x^2+4))
give the answer in terms of y.
I did the substition, but it looked more complicated.
It doesn't look like a u*du thing, but it...
we are doing 'integration by parts' right now. but we never learned anything like this. (having a function inside a function).
would u=lnx du=1/x .. v= ? dv = sin... ?
please help.
Hi,
I've been struggling with this problem for hours, so I was wondering if someone here could help me out, thanks:
The problem is:
How to integrate: (ln x)(to the power of 2)
Thanks
Hello,
I cannot figure out how to evaluate the following integral,
\int {\frac{y}{{y + 1}}dy}
If it was y^2+1 then I see how a u-substitution of u=y^2+1 would work.
Thanks
I need to integrate this indefinite integral: 1/(x-6)^2 dx
Here is my work...
Let u= x-6
du/dx=1
so: integral 1/u^2 du
= 3/u^3 + c (constant)
=3/(x-6)^3 + c
Have I gone wrong? And if so where? Thanks
I haven't had any luck with mathcad and was wondering if this was possible to integrate...
\int_{0}^{2\pi} \frac {x+r*cos(\theta)}{(x^2+2r*x*cos(\theta)+r^2)^\frac {3}{2}} d\theta
May i know how to integ 1/x^2 (1-x^2) ??
i try to form Ax/x^2 + Bx+C/(1-x^2) but can't get the answer...
the answer is-1/x + 1/2 ln (1+x) - 1/2 ln (1-x).pls help...