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If f^(prime)(x)=x+b ,f(1)=5,f(2)=13 , fi...

If `f^(prime)(x)=x+b ,f(1)=5,f(2)=13 ,` find `f(x)dot`

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To solve the problem, we need to find the function \( f(x) \) given that \( f'(x) = x + b \), where \( b \) is a constant, and we have the conditions \( f(1) = 5 \) and \( f(2) = 13 \). ### Step 1: Integrate \( f'(x) \) Since \( f'(x) = x + b \), we can find \( f(x) \) by integrating \( f'(x) \): \[ f(x) = \int (x + b) \, dx ...
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