1.讨论下列无穷积分是否收敛?若收敛,则求其值:-|||-(1) (int )_(0)^+infty x(e)^-(x^2)dx;-|||-(2) (int )_(-infty )^+infty x(e)^-(x^2)dx;-|||-(3) (int )_(0)^+infty dfrac (1)(sqrt {{e)^x}}dx;-|||-(4) (int )_(1)^+infty dfrac (dx)({x)^2(1+x)};-|||-(5) (int )_(-infty )^+infty dfrac (dx)(4{x)^2+4x+5}-|||-(6) (int )_(0)^+infty (e)^-xsin xdx;-|||-(7) (int )_(-infty )^+infty (e)^xsin xdx;-|||-(8) (int )_(0)^+infty dfrac (dx)(sqrt {1+{x)^2}}

参考答案与解析:

相关试题

1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4}-|||-(2) (int )_(1)^+infty

1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4}-|||-(

  • 查看答案
  • (int )_(-infty )^+infty (x)^2(e)^-a(x^2)dx=dfrac (1)(2)sqrt (dfrac {pi )({a)^3}} . (int )_(-infty )^

    (int )_(-infty )^+infty (x)^2(e)^-a(x^2)dx=dfrac (1)(2)sqrt (dfrac {pi )({a)^3}}

  • 查看答案
  • [题目]-|||-2.讨论下列瑕积分是否收敛?若收敛则求其值:-|||-(1) (int )_(a)^bdfrac (dx)({(x-a))^p}-|||-(2) (int )_(0)^1dfrac

    [题目]-|||-2.讨论下列瑕积分是否收敛?若收敛则求其值:-|||-(1) (int )_(a)^bdfrac (dx)({(x-a))^p}-|||-(2

  • 查看答案
  • 1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4} =-|||-(2) (int )_(1)^+inf

    1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4} =-|||

  • 查看答案
  • 1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4} =-|||-(2) (int )_(1)^+inf

    1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4} =-|||

  • 查看答案
  • 1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4} ;-|||-(2) (int )_(1)^+inf

    1.判定下列各反常积分的收敛性,如果收敛,计算反常积分的值:-|||-(1) (int )_(1)^+infty dfrac (dx)({x)^4} ;-|||

  • 查看答案
  • ()-|||-(2) (int )_(-infty )^+infty dfrac (2x)(1+{x)^2}dx=lim _(aarrow +infty )(int )_(-a)^adfrac (2x

    ()-|||-(2) (int )_(-infty )^+infty dfrac (2x)(1+{x)^2}dx=lim _(aarrow +infty )(i

  • 查看答案
  • B: (Xgt X)=(int )_(-infty )^xf(x)dx-|||-C: (int )_(-infty )^+infty f(x)dx=1 D: (+infty )=1

    B: (Xgt X)=(int )_(-infty )^xf(x)dx-|||-C: (int )_(-infty )^+infty f(x)dx=1 D: (

  • 查看答案
  • (int )_(0)^+infty dfrac (x{e)^-x}({(1+{e)^-x)}^2}dx= ()-|||-__

    (int )_(0)^+infty dfrac (x{e)^-x}({(1+{e)^-x)}^2}dx= ()-|||-__

  • 查看答案
  • 广义积分int_(1)^+infty(1)/(x^2)dx=()

    广义积分int_(1)^+infty(1)/(x^2)dx=()A. 0B. 1C. -1D. 3

  • 查看答案