Homework Statement
Hey, I was wondering if I could get some help verifying my answers for these general thermodynamics concept questions. Thanks!
1. A reversible reaction is at equilibrium at constant pressure and temperature if the free energy of the system ______________.
2. Heat...
Im still not seeing the big picture here. Can you write out exactly what this problem should look like with all the steps at least partially worked out?
Ok, I see what you are saying now, but when I graphed the parabola, I also saw that coming from the right-hand side, the values of x were also positive up until x=1.
Im still not sure how it is you are coming to the statement that "if x comes from the left, then this expression is positive." Can you explain how you are getting this?
Here is what I have now:
Homework Statement
lim as x\rightarrow-1 = \frac{|x^{2}-1|}{x^{2}+x}
Homework Equations
N/a
The Attempt at a Solution
Tried to write this as a piecewise function, but I got lost.
Homework Statement
\int xarcsin2xdx
2. The attempt at a solution
Can someone explain to me what is happening at step 2? I understand how the integration by parts was done, but where does the (1/8) or (2x) come from?
Okay, thats what I thought you wanted me to do. I am now left with this:
(7/4)\int sec^{3}Θ = (3/4)secΘtanΘ - (3/4)ln\left|secΘ + tanΘ\right| + C
Now I need to manipulate the fraction so as to get
(4/3)\int sec^{3}Θ
How do I do this?