Evaluate the Integral integral of 1/(2y) with respect to y

Problem

(∫_^)(1/(2*y)*d(y))

Solution

1. Factor out the constant coefficient 1/2 from the integral to simplify the expression.

1/2*(∫_^)(1/y*d(y))

2. Apply the integration rule for the reciprocal function, which states that (∫_^)(1/y*d(y))=ln(y)+C

1/2*(ln(y)+C)

3. Distribute the constant and combine the constants of integration into a single constant C

1/2*ln(y)+C

Final Answer

(∫_^)(1/(2*y)*d(y))=1/2*ln(y)+C

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