Homework Statement
A gas station stores its gasoline in a tank underground. The tank is a cylinder lying horizontally on its side. The radius is 3 ft, the length is 14 ft, and the top of the tank is 10 feet under the ground. The density of gasoline is 42 lb/ft3
a) Consider a slice of gasoline...
Homework Statement
A lobster tank in a restaurant is 8 ft long by 7 ft wide by 2 ft deep. Find the water force on the bottom and on each of the four sides. The density of water is 62.4 lb/ft3.Homework Equations
Pressure = density * gravity * height
Force = Pressure * Area
The Attempt at a...
Thank you.. I was checking the integrals on wolfram but it seems to work much better if I take my answer and try to get the integral. And I can't believe I didn't think of the 1-cos(w) substitution :redface:
I just found this forum and you guys have been a lot of help! Maybe one day i will be...
This isn't homework, It is just book problems that I am practicing, I am checking some answers with wolfram and others with the book answers.
Homework Statement
\begin{align}
\int \frac{sin(w)\,dw}{\sqrt{1-cos(w)}}\\
\end{align}
Homework Equations
I used u substitution... Not sure if I...
My first post let's see if i did this typing right, if not please forgive me...
Homework Statement
\int \frac{(1+ln x)^2}{x}\,dx
Homework Equations
Trying to attack it by using substitution..
The Attempt at a Solution
Using...
u = 1 + ln(x) , du = 1/x
\begin{align}
\int \frac{(1+ln...