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If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 ,...

If `f^(prime)(x)=x-1/(x^2)` and `f(1)=1/2` , find `f(x)` .

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To find the function \( f(x) \) given that \( f'(x) = x - \frac{1}{x^2} \) and \( f(1) = \frac{1}{2} \), we will follow these steps: ### Step 1: Integrate \( f'(x) \) We start by integrating \( f'(x) \): \[ f(x) = \int f'(x) \, dx = \int \left( x - \frac{1}{x^2} \right) dx ...
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