To integrate ∫ dU / U, we can use the natural logarithm function.
Let’s start by rewriting the integral as:
∫ dU / U = ln |U| + C
where C is the constant of integration.
The absolute value is included in the natural logarithm because ln(-x) is undefined for real numbers, and we want to include all possible values of U.
Therefore, the indefinite integral of ∫ dU / U is ln |U| + C.
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