题目
9.计算下列积分:-|||-(1) (int )_(0)^2pi dfrac (1)(5+3sin theta )dtheta ;-|||-(2) (int )_(0)^2pi dfrac ({sin )^2theta }(a+bcos theta )dtheta (agt bgt 0)-|||-(3) (int )_(0)^2pi dfrac (1)({(a+cos theta ))^2}dtheta (agt 1) ;-|||-(4) (int )_(-infty )^+infty dfrac (1)({(1+{x)^2)}^2}dx ;-|||-(5) (int )_(0)^+infty dfrac ({x)^2}(1+{x)^4}dx =-|||-(6) (int )_(-infty )^+infty dfrac (cos x)({x)^2+4x+5}dx-|||-(7) (int )_(-infty )^+infty dfrac (xsin x)(1+{x)^2}dx =-|||-(8) (int )_(0)^+infty dfrac ({x)^2+1}({x)^4+1}dx

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