1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx-|||-(2) (int )_(-2)^(r_{1)}dfrac (dx)({(11+5x))^3};-|||-(3) (int )_(0)^dfrac (pi {2)}sin varphi (cos )^3varphi dvarphi ;-|||-(4) (int )_(0)^x(1-(sin )^3theta )dtheta ;-|||-(5) (int )_(dfrac {pi )(4)}^dfrac (pi {2)}(cos )^2udu;-|||-(6) (int )_(0)^sqrt (2)sqrt (2-{x)^2}dx;-|||-(7)(int )_(-sqrt {2)}^sqrt (2)sqrt (8-2{y)^2}dy;-|||-(8) (int )_(dfrac {1)(sqrt {2)}}^1dfrac (sqrt {1-{x)^2}}({x)^2}dx;-|||-(9) x^2√(a^2-x^2dx(a>0) ;-|||-(10) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}};-|||-(11) (int )_(-1)^1dfrac (xdx)(sqrt {5-4x)}-|||-(12) (int )_(1)^2dfrac (dx)(1+sqrt {x)};-|||-(13) (int )_(4)^1dfrac (dx)(sqrt {1-x)-1}-|||-(14) (int )_(0)^sqrt (2)dfrac (xdx)(sqrt {3{a)^2-(x)^2}}(agt 0);-|||-(15) (int )_(0)^1t(e)^-dfrac ({t^2)(2)}dt;-|||-(16) (int )_(1)^(e^2)dfrac (dx)(xsqrt {1+ln x)}1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx-|||-(2) (int )_(-2)^(r_{1)}dfrac (dx)({(11+5x))^3};-|||-(3) (int )_(0)^dfrac (pi {2)}sin varphi (cos )^3varphi dvarphi ;-|||-(4) (int )_(0)^x(1-(sin )^3theta )dtheta ;-|||-(5) (int )_(dfrac {pi )(4)}^dfrac (pi {2)}(cos )^2udu;-|||-(6) (int )_(0)^sqrt (2)sqrt (2-{x)^2}dx;-|||-(7)(int )_(-sqrt {2)}^sqrt (2)sqrt (8-2{y)^2}dy;-|||-(8) (int )_(dfrac {1)(sqrt {2)}}^1dfrac (sqrt {1-{x)^2}}({x)^2}dx;-|||-(9) x^2√(a^2-x^2dx(a>0) ;-|||-(10) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}};-|||-(11) (int )_(-1)^1dfrac (xdx)(sqrt {5-4x)}-|||-(12) (int )_(1)^2dfrac (dx)(1+sqrt {x)};-|||-(13) (int )_(4)^1dfrac (dx)(sqrt {1-x)-1}-|||-(14) (int )_(0)^sqrt (2)dfrac (xdx)(sqrt {3{a)^2-(x)^2}}(agt 0);-|||-(15) (int )_(0)^1t(e)^-dfrac ({t^2)(2)}dt;-|||-(16) (int )_(1)^(e^2)dfrac (dx)(xsqrt {1+ln x)}