Calculus ii Definition and 106 Threads

The problem: (\int f(x)dx)(\int \frac{1}{f(x)} dx) = -1 solve for f(x) The attempt at a solution divide both sides by integral(f(x)dx): \int \frac{1}{f(x)} dx = \frac{-1}{\int f(x)dx} took derivative of both sides: \frac{1}{f(x)} = \frac{f(x)}{(\int f(x) dx)^2} multiplied both sides by f(x)...

Calculus II homework help... Hi, I am new to this forum and I found about this forum on talk.collegeconfidential.com. Well I have been having some trouble with my Calc II work . It would be great if someone could explain this problem to be Find the total length of the astroid x=a (cos...

Calculus II is giving me a hard time! Im embarrased to say this but I've taken Cal II 2 times already and can't get passed it. I don't understand what I am doing wrong. I am taking it this summer for the sake of getting it all over with quickly. I was confident when I went into class because I...

What test can I use on the following series in order to determine if it converges or diverges? Looking at it graphically it appears to diverge but I cannot show it analytically. \sum\limits_{n = 1}^\infty {\frac{{n!}}{{3n! - 1}}} Using the Ratio Test, here is I got thus far \left|...

Hi. I need help on how to set up the integral for these problems. 1. A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the fluid force on a circular end of the tank if the tank is half full, assuming that the diameter is 3 feet and the gasoline...

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.6 x^2 and below the line y= 164 . (Here, distances are measured in meters.) The water level can be assumed to be at the top of the dam. Find the force (in Newtons) exerted...