∫du/u
The expression ∫du/u represents the integral of the function 1/u with respect to u
The expression ∫du/u represents the integral of the function 1/u with respect to u. In order to find the antiderivative of 1/u, we can use a logarithmic function.
The integral of 1/u with respect to u is equal to ln|u| + C, where C is the constant of integration. Note that the absolute value is used in the natural logarithm function to ensure that the result is defined for both positive and negative values of u.
Therefore, the solution to ∫du/u is ln|u| + C.
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