(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need To find the work done by a force that varies with position like this:

F(x)=2x^3 -5x^2 +10

with x at values between 0 to 10 meters.

2. Relevant equations

see above, and maybe w=fd

3. The attempt at a solution

I found the area underneath the curve by putting the values from 0.001 to 10 into Excel, and putting in the equation for all values. it looks like this:

x (in meters) f(x) area of each increment

0.1 9.952 0.009952

0.2 9.816 0.009816

0.3 9.604 0.009604

0.4 9.328 0.009328

0.5 9 0.009

0.6 8.632 0.008632

0.7 8.236 0.008236

0.8 7.824 0.007824

0.9 7.408 0.007408

1 7 0.007

1.1 6.612 0.006612

1.2 6.256 0.006256

area of all increments(using 0.001, not 0.1)

3434.083375

^thats just a sample and is only using .1 increments.

would 3434.083375 actually be my final answer for the work performed, or would that be the force, and if so, what distance would I multiply it by?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Calculating Work Done by Variable Force

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