# Answer to Question #1427 in Calculus for Lauren

Question #1427

Derivative: g

^{(1)}= 3x^{2}-4x+1 and graph of g passes through point P(2,3). Find g(x).Expert's answer

Let's integrate g

int(g

As the function passes through the point (2,3), we can find the constant C:

2

C = 3-2 = 1

Then

g(x) = x

^{(1)}:int(g

^{(1)}) = x^{3}- 2x^{2}+ x + C;As the function passes through the point (2,3), we can find the constant C:

2

^{3}- 2*2^{2}+ 2 + C = 3C = 3-2 = 1

Then

g(x) = x

^{3}- 2x^{2}+ x + 1.Need a fast expert's response?

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