• 2022-07-25
    \(已知L是抛物线y=x^2上点O(0,0)与点A(1,1)之间的一段弧,则\int_{L}\sqrt{y}ds=(\,)\)
    A: \[\frac{1}{12}(5\sqrt{5}-1)\]
    B: \[\frac{1}{12}(3\sqrt{3}-1)\]
    C: \[\frac{1}{13}(5\sqrt{5}-1)\]
    D: \[\frac{1}{13}(3\sqrt{3}-1)\]