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Math Help - Integral Multiple Choice Problem

  1. #1
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    Integral Multiple Choice Problem

    If the Function f is defined by f(x)= √x + 2 and g is an antiderivative of f such that g (3) = 5, THEN g(1)= ??

    A. -3.268
    B. -1.585
    C. 6.585
    D. 1.732
    E. 11.585

    How would you go about solving this problem? thanks!
    Oh and the square root sign is for both the x^3 and the 2.
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  2. #2
    Ted
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    Quote Originally Posted by r2d2 View Post
    If the Function f is defined by f(x)= √x + 2 and g is an antiderivative of f such that g (3) = 5, THEN g(1)= ??

    A. -3.268
    B. -1.585
    C. 6.585
    D. 1.732
    E. 11.585

    How would you go about solving this problem? thanks!
    Oh and the square root sign is for both the x^3 and the 2.
    Well, Lets do it step by step.
    You are telling that g(x)=\int f(x)dx.
    Start by finding g(x), i.e. by integrating f(x).

    What will you get?
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  3. #3
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    the integration of the x^3 +2 is where I get stuck. How would I go about doing this? u substitution?
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  4. #4
    Ted
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    Quote Originally Posted by r2d2 View Post
    the integration of the x^3 +2 is where I get stuck. How would I go about doing this? u substitution?
    Specify your f(x).
    In post #1 you said f(x)=\sqrt{x^3}+2 or maybe f(x)=\sqrt{x^3+2}.

    And in post #3 you said f(x)=x^3+2.

    Which one is your f ?
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  5. #5
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    the square root of (x^3 + 2).

    I don't know how to make a root sign that goes over both of the characters
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