Vector Field Problem Answer: Thanks for Help

pr1ngles
Messages
1
Reaction score
0
I got the answer! thanks for the help
 
Last edited:
Physics news on Phys.org
That sounds like one rad teacher. I don't know much about how vector functions work, but going off of how acceleration, velocity, and displacement tie into each other, you could try integration to give you a new vector field of displacement... Hope that helps or sparks an idea for you.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

How to observe if a vector field has curl or not?
Replies
2
Views
4K
Vector Field associated with Stereographic Projection
Replies
2
Views
2K
How should I show that the index of a limit cycle is ## 1 ##?
Replies
1
Views
2K
Line integral of a vector field
Replies
6
Views
2K
Finding the flow of a vector field
Replies
5
Views
2K
Divergence of ##\vec{x}/\vert\vec{x}\vert^3##
Replies
4
Views
2K
What is the one-dimensional counterpart to the Green-Gauss theorem?
Replies
28
Views
2K
Two vector operations and simple expressions
Replies
6
Views
1K
Estimate Vector Field Surface Integral
Replies
2
Views
2K
Gauss' Theorem - Net Flux Out - Comparing two vector Fields
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top