Recent content by Xetman

Oh yeah. Silly mistake XD thanks.

Homework Statement Integrate √(x2(x+3)) from -3 to 0. 0 ∫√(x2(x+3)) dx -32. The attempt at a solution Here is what I did: √(x2(x+3)) = x√(x+3) Let u=x+3, du=dx, x=u-3 Insert the bounds and change the bounds to: 0 to 3. x√(x+3)= (u-3)√(u) = u3/2-3u1/2 Thus we have: 3 ∫(u3/2-3u1/2) du 0...

Homework Statement Integrate ettdt using integration by parts.2. The attempt at a solution Seems like a very easy problem; however, I just started learning integration by parts-- didn't understand this. So the book's method: u=t...

Okay so I was going through my calculus textbook and I am stumbled on the WORK section. Here it says work=force*distance, and force=mass*acceleration. In a problem they use gravity for acceleration which I guess you can do. So they have: F=mass*gravity So to calculate the...

Nah lol the question was in the U-Substitution section of my book so I figured it wouldn't be that easy just to plug in a number.

Homework Statement Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the specified axis. y=x^4, y=0, x=1; about x=2 2. The attempt at a solution I know how to do the problem, except how to find the radius. Like I know...

Homework Statement An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 100 e^(-0.01t) liters per minute. How much oil leaks out during the first hour? Homework Equations r(t) = 100 e^(-0.01t) The Attempt at a Solution Eh, I already got the answer, I...

Homework Statement http://i50.tinypic.com/zxw6qr.png a>0 a ∫ x√(x^2+a^2)dx (a>0) 02. The attempt at a solution u=x^2+a^2 du=2xdx I looked it up online and I saw you needed to use trig. How do you use trig for this problem? Note: I have not learned integration by parts, just u-sub.