Find the function, y=f(x), if y'=2x-1 and f(1)=3?

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#1

find the function, y=f(x), if y’=2x-1 and f(1)=3?

Answer:

take the anti derivative of 2x-1 which is x^2-x+C where C is a constant
then plug in 1=x
(1)^2-1+C=3
1-1+C=3
C=3
therefore, f(x)=x^2-x+3