surface integral: int (y + sinx)dx + (z^2 + cosy)dy + x^3dz

mathstresser

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Jan 28, 2006
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Evaluate
\(\displaystyle \L\\\int_{C} (y + sinx)dx+ (z^2 + cosy)dy + x^3 dz\)

C: curve r(t)+ <sint, cost, sin(2t)> \(\displaystyle \L\\ 0<= t <= pi\)

Hint: C lies on the surface z=2xy

I don't know what to do. Also, I don't know what to do with the curve r(t).
 
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