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Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

Finding the length of an arc (Calculus)?

To go about finding this arc length how would I do it:

"the function is x^3/2 with an interval of x = 4 to x = 9"

1 Answer

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  • Bryce
    Lv 7
    2 months ago

    L= ∫[4 to 9] √[1 + ((3/2)x^0.5)²] dx

    = ∫[4 to 9] √[1 + (9/4)x] dx

    = (2/3)(4/9)(1 + (9/4)x)^3/2

    = (8/27)[(85/4)^3/2 - 10^3/2]

    ≈ 19.655

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