求下列定积分:-|||-(10) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}}

37.(2023,3题,5分)已知x_{n)},y_{n)}满足：x_(1)=y_(1)=(1)/(2),x_(n+1)=sin x_(n),y_(n+1)=y_(n)^2(n=1,2,...),则当n→∞时，A. x_(n)是y_(n)的高阶无穷小.B. y_(n)是x_(n)的高阶无穷小.C. x_(n)与y_(n)是等价无穷小.D. x_(n)与y_(n)是同阶但不等价的无穷小.

判断向量组 alpha_1 = (2,1,-1)^T, alpha_2 = (0,2,1)^T, alpha_3 = (-2,3,0)^T的线性相关性。 A. 线性相关B. 可相关也可无关C. 线性无关D. 无法确定

1.简答题(10分)已知f(-1)=3,f(0)=2,f(2)=6,求f(x)的二次Lagrange插值多项式.

设矩阵https:/img.zuoyebang.cc/zyb_03ea0845c31a32a49a93741932d44056.jpg-1 1-|||-A= 0-|||-0 0 1, 向量https:/img.zuoyebang.cc/zyb_112d33e5881884ee778148ced3c18195.jpg-1 1-|||-A= 0-|||-0 0 1, 若https:/img.zuoyebang.cc/zyb_956a66b92ab22f0627312da560929164.jpg-1 1-|||-A= 0-|||-0 0 1与https:/img.zuoyebang.cc/zyb_5e5bce83bea13a58800b33631d1aeea2.jpg-1 1-|||-A= 0-|||-0 0 1线性相关，则https:/img.zuoyebang.cc/zyb_b190e55170f4adfdccc2cad3115df63f.jpg-1 1-|||-A= 0-|||-0 0 1_____.

( 单选题 ) int dfrac ({e)^x}(1+{e)^2x}dx=_________int dfrac ({e)^x}(1+{e)^2x}dx=int dfrac ({e)^x}(1+{e)^2x}dx=int dfrac ({e)^x}(1+{e)^2x}dx=int dfrac ({e)^x}(1+{e)^2x}dx=

[题目]合并同类项.-|||-(1) (x)^2y-2xy-4x(y)^2+xy+4(x)^2y-3x(y)^2;-|||-(2) dfrac (1)(5)(x)^2-4x+dfrac ({x)^2}(3)-6(x)^2+3-dfrac (x)(3)-1.

2.求由下列各组曲线所围成的图形的面积:-|||-(1) =dfrac (1)(2)(x)^2 与 ^2+(y)^2=8 (两部分都要计算);

(24) int dfrac (sqrt {{x)^2-4}}(x)dx

10、单选-|||-极限 lim _(xarrow 0)[ dfrac ((1+x)ln (1+x))({sin )^2x}-dfrac (1)(sin x)] = () ,(单选题)-|||-(3分)-|||-A-|||-dfrac (1)(6)-|||-B dfrac (1)(2)-|||-C -dfrac (1)(3)-|||--dfrac (1){}

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