34.曲线 (x-1)-|||-C. =dfrac {1)(ln 3)(x-1)+1 D. =ln dfrac (1)(3)(x-1)

已知函数 y = y(x) 满足方程 xydx = sqrt(2 - x^2) dy，且当 x = 1 时，y = 1，则当 x = -1 时，y = ( )A. 1B. eC. -1D. e^-1

若函数 f(x) 在区间 [a, b] 上连续，Phi(x)= int_(a)^x f(t)dt，则下列说法错误的是（）A. Phi(x) 是 f(x) 在 [a, b] 上的一个原函数.B. Phi(x)= int_(a)^x f(t)dt 的定义域为 [a, b].C. Phi'(x^2)= (int_(a)^x^2 f(t)dt )' = 2xf(x^2).D. Phi'(x)= (int_(a)^x f(t)dt )' = f(x).

若两个向量组等价,则它们的秩相等。这个正确还是错误。A. 对B. 错

1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx ;-|||-(2) (int )_(-2)^1dfrac (dx)({(11+5x))^3}-|||-(3)∫_2^2 sinφcos3φdφ;-|||-(4) (int )_(0)^pi (1-(sin )^3theta )dtheta -|||-(5) (int )_(dfrac {pi )(6)}^dfrac (pi {2)}(cos )^2udu-|||-(6) (int )_(0)^sqrt (2)sqrt (2-{x)^2}dx ;-|||-(7) (int )_(-sqrt {2)}^sqrt (2)sqrt (8-2{y)^2}dy =-|||-(8) (int )_(dfrac {1)(sqrt {2)}}^1dfrac (sqrt {1-{x)^2}}({x)^2}dx =-|||-(9) (int )_(0)^a(x)^2sqrt ({a)^2-(x)^2}dx(agt 0) ;-|||-(10) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}}-|||-(11) (int )_(-1)^1dfrac (xdx)(sqrt {5-4x)} =-|||-(12) (int )_(1)^4dfrac (dx)(1+sqrt {x)} =-|||-(13) (int )_(dfrac {3)(4)}^1dfrac (dx)(sqrt {1-x)-1} =-|||-(14) (int )_(0)^sqrt (2a)dfrac (xdx)(sqrt {3{a)^2-(x)^2}}(agt 0)-|||-(15) (int )_(0)^1t(e)^-dfrac (12{2)d}t =-|||-(16) (int )_(1)^(e^2)dfrac (dx)(xsqrt {1+ln x)}-|||-(17) (int )_(-2)^0dfrac ((x+2)dx)({x)^2+2x+2} =-|||-(18) (int )_(0)^2dfrac (xdx)({({x)^2-2x+2)}^2}-|||-(19) (int )_(-pi )^pi (x)^4sin xdx =-|||-(20)[^2 44cos^4θdθ;-|||-(21) (int )_(-dfrac {1)(2)}^dfrac (1{2)}dfrac ({(arcsin x))^2}(sqrt {1-{x)^2}}dx-|||-(22) (int )_(-5)^5dfrac ({x)^3(sin )^2x}({x)^4+2(x)^2+1}dx1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx ;-|||-(2) (int )_(-2)^1dfrac (dx)({(11+5x))^3}-|||-(3)∫_2^2 sinφcos3φdφ;-|||-(4) (int )_(0)^pi (1-(sin )^3theta )dtheta -|||-(5) (int )_(dfrac {pi )(6)}^dfrac (pi {2)}(cos )^2udu-|||-(6) (int )_(0)^sqrt (2)sqrt (2-{x)^2}dx ;-|||-(7) (int )_(-sqrt {2)}^sqrt (2)sqrt (8-2{y)^2}dy =-|||-(8) (int )_(dfrac {1)(sqrt {2)}}^1dfrac (sqrt {1-{x)^2}}({x)^2}dx =-|||-(9) (int )_(0)^a(x)^2sqrt ({a)^2-(x)^2}dx(agt 0) ;-|||-(10) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}}-|||-(11) (int )_(-1)^1dfrac (xdx)(sqrt {5-4x)} =-|||-(12) (int )_(1)^4dfrac (dx)(1+sqrt {x)} =-|||-(13) (int )_(dfrac {3)(4)}^1dfrac (dx)(sqrt {1-x)-1} =-|||-(14) (int )_(0)^sqrt (2a)dfrac (xdx)(sqrt {3{a)^2-(x)^2}}(agt 0)-|||-(15) (int )_(0)^1t(e)^-dfrac (12{2)d}t =-|||-(16) (int )_(1)^(e^2)dfrac (dx)(xsqrt {1+ln x)}-|||-(17) (int )_(-2)^0dfrac ((x+2)dx)({x)^2+2x+2} =-|||-(18) (int )_(0)^2dfrac (xdx)({({x)^2-2x+2)}^2}-|||-(19) (int )_(-pi )^pi (x)^4sin xdx =-|||-(20)[^2 44cos^4θdθ;-|||-(21) (int )_(-dfrac {1)(2)}^dfrac (1{2)}dfrac ({(arcsin x))^2}(sqrt {1-{x)^2}}dx-|||-(22) (int )_(-5)^5dfrac ({x)^3(sin )^2x}({x)^4+2(x)^2+1}dx

设A,B为 n 阶 矩阵，A,B 为A,B 阶单位矩阵，且 A 与 B 相似，则A,B （）A正确B错误

二阶线性齐次微分方程的两个解.y(x)、y2(x)的线性组合是其通解的必要条件是()A. 线性无关B. 线性相关C. 无法判断

计算 int_(C) Re(z) , dz，其中 C 为(1) 从原点到点 1+i 的直线段.(2) 抛物线 y=x^2 上从原点到点 1+i 的弧段.(3) 从原点沿 x 轴到点 1 再到 1+i 的折线.

30. (2.0分) 若函数y_(1)(x)和y_(2)(x)是微分方程y''+P(x)y'+Q(x)y=0的两个解，则y=C_(1)y_(1)(x)+C_(2)y_(2)(x)是该方程的通解.（）A. 对B. 错