Solving -2 ((4 t^(1/2) + 8 t ^ (3/2)) / ((t^(1/2) (1 + 4t + 4t^2 ))^2) )

  • Thread starter Thread starter afcwestwarrior
  • Start date Start date
afcwestwarrior
Messages
453
Reaction score
0
- (4 t^(1/2) + 8 t ^ (3/2)) / ((t^(1/2) (1 + 4t + 4t^2 ))^2)
(4 t^(1/2) + 8 t ^ (3/2)) / ((t^(1/2) (1 + 4t + 4t^2 ))^2)


or is it -2 ((4 t^(1/2) + 8 t ^ (3/2)) / ((t^(1/2) (1 + 4t + 4t^2 ))^2) )
 
Physics news on Phys.org
not too sure what you're trying to do - can you elaborate?
 
the first formula is subtracting with the second formula except the first formula is negative too.
 
You don't show any subtraction going on between the expressions on the two lines, or addition or multiplication for that matter.

For a much simpler example,
-3
3
there is no indication of what's supposed to happen here. Just because there is a negative sign on the first term doesn't mean that this is a subtraction problem.

I'm with lanedance. What are you trying to do?
 
Here's a better example. It's like saying - 1 -1.

Except those expressions are substituded for 1.
 
Your example is not like the problem you posted, because you don't show what operation should be performed on the first and second expressions. Is the expression in the second line of your original post to be added to, subtracted from, or multiplied by the expression in the second line?
 
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...
Back
Top