The term -xy appears in both the integration of M with respect to x and the integration of N with respect to y. When combining the results to form the potential function, shared terms should only be included once to avoid double-counting.
Conditions: The term -xy is present in both antiderivatives.
The term -xy appears in both the integration of M with respect to x and the integration of N with respect to y. When combining the results to form the potential function, shared terms should only be included once to avoid double-counting.
Conditions: The term -xy is present in both antiderivatives.
When integrating a multivariable function with respect to one variable, the other variables are treated as constants. Therefore, the 'constant' of integration can be any function that depends only on the other variables, which in this case is y.
Conditions: The integration is with respect to x.; The function M depends on both x and y.
When integrating a multivariable function with respect to one variable, the other variables are treated as constants. Therefore, the 'constant' of integration can be any function that depends only on the other variables, which in this case is y.
Conditions: The integration is with respect to x.; The function M depends on both x and y.