The discussion focuses on finding the antiderivative of the function 2xy. Participants clarify that the antiderivative must be computed with respect to a specific variable, either x or y. The correct antiderivatives are identified as ∫2xy dx = x²y + C and ∫2xy dy = xy² + C, depending on the variable of integration chosen. This highlights the importance of specifying the variable when performing integration in multivariable calculus.
PREREQUISITESStudents studying calculus, particularly those tackling multivariable functions, and educators looking for examples of integration techniques in teaching contexts.
rock.freak667 said:What are you integrating with respect to? Are both x and y variables?
Then answer the question! You want to find the anti-derivative with respect to which variable?BJducky said:Yes, they are both variables.