Well if the 4π/3 ray moved in a counterclockwise motion until the 2π/3 ray, then the ray would sweep the entire area of the large loop. But that would mean doing an integral from a lower bound of 4π/3 to the upper bound of 2π/3. This to me doesn't seem right since usually the lower bound is...
Homework Statement
Consider the graph (see attachment) of r = 1 +2cos\Theta in polar coordinates. SET UP integrals to find
1. the area inside the large loop minus the area of the small loop.
2. the arc length of the small loop
3. the surface area of the surface formed by...
Homework Statement
Solve the integral \int\frac{1}{\sqrt[3]{x-1}}. Upper limit of integration is 1 while lower limit is 0.
Homework Equations
N/A.
The Attempt at a Solution
The only thing that I'm sure about is that the antiderivative of the integral is \frac{3}{2}(x-1)^(2/3) +...