1. The problem is as follows: ∫(√1+x^2)dx/(x) 2. Using trig sub --> x = atanΘ with a = √1 = 1. So x = tanΘ and dx = sec^2ΘdΘ. 3. Picture included of attempted solution. I tried u substitution with both u = secΘ and u=tanΘ but didn't have the right du...
hi guys,
i have a question.
i saw this picture, and i don't really understand how they derived with the formula. The aim is basically to find the formula for the surface area of a spherical cap.
why do you differentiate the x=sqrt(rˆ2-yˆ2)? how does that help to find the surface?
and then...
This was just very basic, I have accepted it in just a heartbeat, but when I tried to chopped it and examined one by one, somethings fishy is happening, this just involved \int_{0}^{\infty}x e^{-x}dx=1.
Well, when we do Integration by parts we will have let u = x du = dx dv = e^{-x}dx v =...
On this picture we see a octagonal dome. I am trying to calculate the volume of this object by integral calculus but I can't find a way. How would you calculate this?
https://dl.dropboxusercontent.com/u/17974596/Sk%C3%A6rmbillede%202015-12-17%20kl.%2002.14.48.png
I am majoring in math-econ but...
Homework Statement
Homework Equations
With the regards to posting such a incomplete equation, I will soon put in the updated one
Thank you
The Attempt at a Solution
visual graph... didn't help
I was asked to take the integral of (x^4 -x^6) / (x^2) from 0 to 4. Does this exist? Although there is a hole at 0, the limit exists. And the denominator factors out. It's not an asymptote. Please let me know. I can see both reasons why it would and why it wouldn't.
I've put the problem statement below and worked it out. I typically don't post questions like this as they're a lot to go through, but I am wondering if I have worked the problem correctly as my book does not have the solution and I feel like I am not understand the material correctly.
1...
Homework Statement
F[/B]=(y + yz- z, 5x+zx, 2y+xy )
use stokes on the line C that intersects: x^2 + y^2 + z^2 = 1 and y=1-x
C is in the direction so that the positive direction in the point (1,0,0) is given by a vector (0,0,1)
2. The attempt at a solution
I was thinking that I could decide...
< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >
1) ∫ dx/((x^(2))(x^(2)+4)^(1/2))2) I'm really stumped on this integral. I've tried several different methods of integration, but I kept getting stuck.3) The problem doesn't look like it needs trig...
Hi Physics Forums.
I am wondering if I can be so lucky that any of you would know, if these two functions -- defined by the bellow integrals -- have a "name"/are well known. I have sporadically sought through the entire Abramowitz and Stegun without any luck.
f(x,a) = \int_0^\infty\frac{t\cdot...
First of all, apologies as I've asked this question before a while ago, but I never felt the issue got resolved on that thread.
Is it valid to prove that \int_{a}^{c}f(x)dx=\int_{a}^{b}f(x)dx+\int_{b}^{c}f(x)dx
using the fundamental theorem of calculus (FTC)?! That is, would it be valid to do...
Homework Statement
Find the integral of z^3 e^z^2
Homework Equations
The integration by part formula
The Attempt at a Solution
I have no idea what to do, I'm just turning in circles
Homework Statement
Evaluate the limit
1 1 1
lim ∫ ∫ ... ∫ cos^2((pi/2n)(x1 + x2 +... xn))dx1 dx2 ... dxn
0 0 0
n→∞Homework Equations
Well, I know that we can change this using a double angle rule, so that the integrals become 1/2 + 1/2 cos (2*pi/2n)(x1 +...
Homework Statement
\int_{-\infty}^{\infty} \frac{\sin(x)}{x} using Complex Analysis
Homework Equations
Contour analysis on \int_{-\infty}^{\infty} \frac{\sin(x)}{x}
The Attempt at a Solution
Hello,
I am completely new to contour integration. I would really appreciate it if someone can walk...
As a physics major, I felt devastated today when I had to face the toughest integrals in my life for advanced quantum mech course. I am really embarrassed I did bot learn integration properly. please suggest me a good book that will help me excel in sort of integraion I will face for QM and...
Homework Statement
Evaluate:
\int_{0}^{a} \int_{0}^{b} e^{max(b^{2}x^{2}, a^{2}y^{2})} dy \hspace{1 mm} dx
Where a and b are positive.
Homework EquationsThe Attempt at a Solution
I'm having some trouble getting started with this problem, mostly because I am not very familiar with the...
Hello everyone am new to this forum my name is lucy and i hope i can help and get help from other i got this tutorial question that i seem to keep getting wrong :s i hope someone can help me :) the question is
Use a double integral to calculate the area of the region in the positive quadrant...