Calc is going to destroy me! please help

Find the equation of the curve passing through (1,15) if the slope is given by dy/dx = 4 +1/x
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the slope is the first derivative of the function, integrate dy/dx, you get f(x)=4x+ln(x)+C, to get C substitute (1,15) in f(x).

Final answer:

f(x)=4x+ln(x)+11