当x→0x \to 0x→0时,ln(1+x2)\ln(1 + x^{2})ln(1+x2)是2x22x^{2}2x2的( ).
(A)低阶无穷小
(B)高阶无穷小
(C)等价无穷小
(D)同阶但非等价无穷小
求 ∫0xt(t−1)dt\int_{0}^{x} \sqrt{t}(t - 1) dt∫0xt(t−1)dt 的定义域,单调区间,极值点,极值.
设直线y=2−xy = 2 - xy=2−x,y=0y = 0y=0与曲线y=x2(x≥0)y = x^{2}(x\geq0)y=x2(x≥0)所围成的平面图形为DDD.
(1)求DDD的面积SSS;
(2)求DDD绕xxx轴旋转一周所得旋转体的体积VVV.
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