Recent content by dark_omen

Calculating Flux for Hemispheres of Different Radii Homework Statement Calculating Flux for Hemispheres of Different Radii. There are two hemispheres and I have to find the flux through the annular ring of surface 1, 2, and 3 in terms of C (a constant proportional to a charge) and two radii...

What if it is not so obvious like the one I presented. Is there another approach to it (cross product of dot product ??) Thanks

Okay, so I have two vectors a = <-6, 9, -3> and b = <2, -3, 1>. How can I test to see if these two vectors are parallel or not? Thanks

I took 1 + 4cos(x) as u, and I could integrate that, but when I solved for the length it was 0. This is what I did: - 1/4 * integral(sqrt(u^2)du) - 1/4 * ((u)^2/(2))evaluated @ 0 to 4pi

Okay, so I was given the parametric equations of x = (cos(t))^2 and y = cos(t). So I found dy/dt = -sin(t) and dx/dt = -2sin(t)cos(t). This is where I am getting stuck, so I have the L = integral from 0 to 4pi (sqrt((dx/dt)^2+(dy/dt)^2)) , but I don't know how to simplify this to get the answer...

Okay, so I guess I made the wrong choice in u and dv, and that's why my answer didn't come out right. Thanks.

Okay, I had to do integration by parts twice and I got: ((x^2 * cos(x))/6) + ((x^2 * cos(x))/3), I don't know if that is right though but it's what I came up with.

Hello, I am having trouble with this integral, I don't know how to solve it. integral(x * cos(x))dx I tried it in the calculator and it gave me the integral back, and I don't know what method of integration to use to figure it out. Well if anyone has a solution that would be great, thanks.

Can anyone explain how to solve integration problems that involve partial fractions (problems like f(x) = P(x)/Q(x)) Thanks