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)^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)^-nsin 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}} -

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