Hydrostatic Force Problem - Calculus

[HanRam]

Homework Statement

Find hydrostatic force on the vertical side of the tank that has the shape of the region bounded by the curves y=2x², y=8. Assume that the tank is full of water.

Homework Equations

F=pgAd (force = density*gravity*area*depth)

The Attempt at a Solution

I know I need to set up and evaluate an integral, and I believe it must be evaluated from 0 to 8, since the top of the tank is at y=8. Other than this though, I have been unable to set up the integral that I need. Any help as to how the integral would be set up would be appreciated.

 

[HanRam]

After hours working at this problem, I think I may have figured it out, but I'm not at all sure that I did it correctly. Anyway, here is what I came up with.

$$\int(1000)(9.8)(8-2x^2)(2x)dx$$

After calculating this integral from 0 to 2 (I did this because x=0 corresponds to the bottom, and x=2 corresponds to the top), I multiplied my result by 2 to compensate for the fact that I was only integrating for the right side (0 to 2), and by multiplying by 2, that would cover the left side (-2 to 0).

My final result was 313600 N. Can anybody tell me if I went wrong somewhere? (Which I have a feeling I did).

 

[HanRam]

You know anything about calculating hydrostatic force? Wanna help me calculate hydrostatic force here? No? I could use a little help. I need a little assistance. I never took a calculus class, and I need a little help. Ok, I'm just coming flat out and saying 'help me'. Anybody want to help a semi-retarded individual calculate hydrostatic force? 25, 30 dollars. 30 dollars to calculate hydrostatic force. 35 dollars to calculate hydrostatic force right now.

I'll give you 10 dollars for a typed response. 10 dollars. Anybody want to make 10 dollars and respond virtually? No?