Evaluate the Integral integral of x with respect to y

Problem

(∫_^)(x*d(y))

Solution

1. Identify the variable of integration, which is y

2. Treat the variable x as a constant because it does not depend on y

3. Apply the constant rule for integration, which states that (∫_^)(k*d(y))=k*y+C for any constant k

4. Add the constant of integration C

Final Answer

(∫_^)(x*d(y))=x*y+C

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