Use a double integral to find the area of the region. The region
inside the cardioid r = 1 + cos(θ) and outside the circle r = 3
cos(θ). Can someone explain to me where to get the limits of
integration for θ? I get how to get the pi/3 and -pi/3 but most
examples of this problem show further that you have to do more for
the limits of integration but I do not get where they come
from?
1) find the are of the region that lies inside of the curve r=
1+ cos theta and outside the curve r=3 cos theta.
2) find the sum"
En=1 3^{1-n}:2^{n+2}
3) find
integration ( 2x^2 +1) e^x^2 dx
4) Does:
E n=12 ((2n)!/(n!)^2) converge or diverge ? justify your answer
( what test?)
Evaluate the integral by making an appropriate change of
variables.
3 cos
5
y −
x
y +
x
dA
R
where R is the trapezoidal region with vertices (6, 0),
(10, 0), (0, 10), and (0, 6)