I came up with r= \sqrt{x^2 + y^2} and sin(\theta)=y/r
\sqrt{x^2 + y^2} = \frac{1}{8-4sin(\theta)}
\sqrt{x^2 + y^2} = \frac{1}{8-(\frac{4y}{r})}
x^2 + y^2 = 64 - \frac{64y}{r} + \frac{16y^2}{r^2}
pretty sure I chose the wrong order of events there...
But when I tried the...
Homework Statement
Convert the conic section to standard form. r=\frac{1}{8-4*sin(\theta}
Homework Equations
x=rcos(\theta)
y=rsinx(\theta)
The Attempt at a Solution
r=\frac{1}{8-4*sin(\theta}
r^2=\frac{1}{64-64*sin(\theta)+16sin^2(\theta)}
r^2= x^2 + y^2
I can see the...
Homework Statement
Solve the Integral
\int (2 + 2x - x^2)^{3/2} dx
2. The attempt at a solution
I have looked at integration tables, u-substitution, and integration by parts but none of the above seem to be working.
U-Substitution wouldn't work because the du would be inside the...
I have an integral I want to work out that should be a simple one but I just can't see where to start with it. Any help would be appreciated.
\int\frac{lnx}{x-8xln^2x}