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Question

If f' (x) = x − 1x2 and f(1) = 12, find f(x)

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Solution

f'x=x-1x2 f'x=x-x-2 f'xdx =x-x-2dx fx=x22-x-2+1-2+1+C =x22+1x+Cf1=12 Given122+11+C=12C=-1 fx=x22+1x-1

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