Given below are two statements:
Statement I : If \(\rm \phi (x, y)\psi(x, y)\frac{\partial \phi}{\partial y}\ and \ \frac{\partial \psi}{\partial x}\) are continuous functions over region R bounded by simple closed curve C in xy-plane, then \(\rm \oint_C(\phi dx+\psi dy)=\int\int_R\left(\frac{\partial \psi}{\partial x}-\frac{\partial \phi}{\partial x}\right)dxdy\)
Statement II : \(\rm \vec F\) be a vector point function and volume V enclosed by a closed surface, then volume integral = \(\rm \iiint_v\vec F.dV\)
In the light of the above statements, choose the most appropriate answer from the options given below
1
Both Statement I and Statement II are correct
2
Both Statement I and Statement II are incorrect
3
Statement I is correct and Statement II are incorrect
4
Statement I is incorrect but Statement II is correct