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For the following exercises, find the work done.
What is the work done moving a particle from $x=0$ to $x=1 \mathrm{m}$ if the force acting on it is $F=3 x^{2} \mathrm{N} ?$
The work done for the force 3$x^{2} \mathrm{N}$ from $x=0 \mathrm{m}$ to $x=1 \mathrm{m}$ is $W=$ $\int_{0}^{1} 3 x^{2} d x=1 \mathrm{J}$
Calculus 2 / BC
Chapter 6
Applications of Integration
Section 5
Physical Applications
Oregon State University
Harvey Mudd College
Baylor University
Idaho State University
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Okay, so here we have a variable work. Um, we have a force F of X is equal to three x squared, and we're doing it over a distance from X equals 02 X equals one. Okay, so our work is when being integral out of X, the X. So we're going from 0 to 1. Um, three x squared the X. Okay, So this is X cube from 0 to 1. Or, in other words, just, um, uh, one. Right. And this is in jewels. You're done.
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