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 dfrac (dx)(sqrt {x)}-|||-(3) (int )_(0)^+infty (e)^-axdx(agt 0) =-|||-(4) (int )_(0)^+infty dfrac (dx)((1+x)(1+{x)^2)}-|||-(5) (int )_(0)^+infty (e)^-msin omega tdt(pgt 0,omega gt 0) =-|||-(6) (int )_(-infty )^+infty dfrac (dx)({x)^2+2x+2} ;-|||-(7) (int )_(0)^1dfrac (xdx)(sqrt {1-{x)^2}}-|||-(8) (int )_(0)^2dfrac (dx)({(1-x))^2} =-|||-(9) (int )_(1)^2dfrac (xdx)(sqrt {x-1)} =-|||-(10) (int )_(1)^edfrac (dx)(xsqrt {1-{(ln x))^2}}

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} =-|||

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} ;-|||

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}-|||-(

[题目]-|||-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)

证明反常积分(int )_(1)^+infty dfrac (sin {x)^3}(sqrt {{x)^3}}dx绝对收敛.证明反常积分绝对收敛.

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 )

【例9】 (2015年考研数二)下列反常积分收敛的是 () .-|||-(A) (int )_(2)^+infty dfrac (1)(sqrt {x)}dx

1.以下各积分不属于反常积分的是 () .-|||-(A) (int )_(0)^+infty ln (1+x)dx (B) (int )_(0)^1dfrac

1.判别下列反常积分的敛散性:-|||-(8) (int )_(1)^2dfrac (1)(ln x)dx.

19、单选 反常积分 (int )_(0)^+infty dfrac (1)(1+x+{x)^2}dx= __-|||-(3分-|||-A) .dfrac (s