计算下列积分:-|||-(9) (int )_(-e)^-2dfrac (dx)(1+x);-|||-(10) (int )_(0)^dfrac (pi {4)}(tan )^2theta dtheta ;-|||-(11) (int )_(0)^2pi |sin x|dx;-|||-(12) (f(x)dx,其中 f(x)= { {x)^2,xgt 1 .

( 10 ) (int )_(0)^dfrac (pi {4)}(tan )^2theta dtheta ;

例28 计算下列积分:-|||-(1) (int )_(0)^2dfrac (x)({e)^x+(e)^2-x}dx ;

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)

9.计算下列积分:-|||-(1) (int )_(0)^2pi dfrac (1)(5+3sin theta )dtheta ;-|||-(2) (int

计算下列定积分.-|||-(int )_(sqrt {2)}^2dfrac (dx)(xsqrt {{x)^2-1}} ;

计算下列定积分。-|||-(int )_(0)^1x(e)^-dfrac ({x^2)(2)}dx

7.计算下列定积分.-|||-(3) (int )_(dfrac {pi )(4)}^dfrac (pi {3)}dfrac (x)({sin )^2x}dx

例: (int )_(0)^dfrac (pi {2)}(cos )^2dfrac (x)(2)dx= __ .

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