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Math Help - integration

  1. #1
    Junior Member
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    integration

    the curve f(x) for which f'(x)= 16x+k, where k is a constant, has a stationary point at (2,1), find the value of f(x) when x=7

    the answers actually 201 i just can't get the working
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  2. #2
    Super Member flyingsquirrel's Avatar
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    Hi
    Quote Originally Posted by chaneliman View Post
    the curve f(x) for which f'(x)= 16x+k, where k is a constant, has a stationary point at (2,1), find the value of f(x) when x=7

    the answers actually 201 i just can't get the working
    We know two things :

    - That x=2 is a stationary point hence f'(2)=0. This equation can be solved for k.
    - That f(2)=1. As f'(x)=16x+k, integrating you get f(x)=... + constant and the equation f(2)=1 will give you the value of the constant.

    Then simply compute f(7) and you are done.
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