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

5.12 求下列各积分之值:-|||-(1) (int )_(0)^2pi dfrac (dtheta )(a+cos theta )(agt 1);-|||-

7.计算下列定积分:-|||-(1) (int )_(0)^1x(e)^-xdx ;-|||-(2)(int )_(1)^xxln xdx;-|||-(3) (

2.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx;-|||-(2)

1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx ;-|||-(2)

计算下列定积分：(int )_(0)^pi (1-(sin )^3theta )dtheta计算下列定积分：

1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx-|||-(2) (

(int )_(dfrac {pi )(4)}^dfrac (pi {2)}dtheta (int )_(0)^cot theta (r)^2cos theta

计算下列积分:-|||-(9) (int )_(-e)^-2dfrac (dx)(1+x);-|||-(10) (int )_(0)^dfrac (pi {4)

πm·s^(-1))=dfrac (dy)(dt)=Rtdfrac (2pi )(T)cos dfrac (2pi )(T)ti+ndfrac (2pi )(T

(int )_(-dfrac {pi )(2)}^dfrac (pi {2)}4(cos )^4theta dtheta =__________________