# Find Work Done by \(\vec F\)?

**Classical Mechanics**Level 3

If a force acting on a particle can be described by the equation \( \vec F = \left(\dfrac{\sin y}x\right) \vec i + \left( \ln x \cos y\right) \vec j\), then find the work done by \( \vec F\) in moving an object from \( \left( e, \dfrac{\pi }4 \right) \) to \( \left( e^7, \dfrac{3\pi}4 \right) \).