Work Problem, Line Integral Fun (Calc 3)

[Weather Freak]

Homework Statement

Find the work done by the force field F(x,y) = x*sin(y) i-hat + y j-hat on a particle that moves along the parabola y = x^2 from (-1,1) to (2,4).

2. The attempt at a solution
Please see attached file.

The answer I get seems really, really, complicated and I have a hunch that it shouldn't be. Does anything look wrong in my work?

Thanks!

 

[driscoll79]

Hey,

The only thing I noticed is that your limits of integration seem to be off; t goes from -1 to 2, not -1 to 4. The integration is correct.

 

[Weather Freak]

Awesome! Thanks :)