Help me with this math problem?

Find the arc length of f(x)=x^(3/2) on [0, 2].

Update:

Can anyone please check if my work is correct? If not, then please correct me and tell me the right answer. Please show all your work. Thanks.

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2 Answers

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  • 1 year ago
    Favourite answer

    Close. Your steps are correct, but you either need to find new limits corresponding to u, or substitute back the expression in terms of x before evaluating between 0 and 2.

    u = 1 + 9/4 x

    When x = 0, u = 1.

    When x = 2, u = 11/2.

    s = 8/27 [ (11/2)^(3/2) − (1)^(3/2) ]

  • Vaman
    Lv 7
    1 year ago

    Your answer is correct.

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