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Math Help - [SOLVED] Find f(x)

  1. #1
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    [SOLVED] Find f(x)

    Find y= f(x) with intergrals?

    if f "(x)= 2x-1, f ' (1) = 3 and f(0)= 1

    Okay for this one, for the first integral I got  x^2 -x+c. I tested out the F'(1) = 3 and got 0+C=3

    Then for the 2nd integral I got 1/3 x^3 - 1/2 x^2 +c. I tested out f(0) = 1 and got 0-0+c=1

    Correct?
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by radioheadfan View Post
    Find y= f(x) with intergrals?

    if f "(x)= 2x-1, f ' (1) = 3 and f(0)= 1

    Okay for this one, for the first integral I got  x^2 -x+c. I tested out the F'(1) = 3 and got 0+C=3

    Then for the 2nd integral I got 1/3 x^3 - 1/2 x^2 +c. I tested out f(0) = 1 and got 0-0+c=1

    Correct?

    You needed to include c_1 before you integrated the second time.

    IE \frac{1}{3}x^3-\frac{1}{2}x^2+\overbrace{3}^{c_1}x+c_2
    Last edited by VonNemo19; July 31st 2009 at 07:07 PM.
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