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

Show that the following line integral depends only on the end points of C by using a suitable theorem.

Then evaluate without parameterising it.

2. Relevant equations

[itex]\int_{(0,0)}^{(3,2)} 2xe^y dx + x^2e^y dy[/itex]

3. The attempt at a solution

Is this the theorem...

[itex] \displaystyle \int F(x,y) dr =\int_C \frac{\partial \phi}{\partial x} dx +\frac{\partial \phi}{\partial y} dy =\int_a^b (\frac{\partial \phi}{\partial x} \frac{dx}{dt} +\frac{\partial \phi}{\partial y} \frac{dy}{dt}) dt[/itex]...........?

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# Homework Help: Integral on end points

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