(7) (int )_(0)^pi (1-(sin )^3theta )dtheta ;

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

(8) int_(0)^pi(1-sin ^3theta )dtheta(8) $\int_{0}^{\pi}(1-\sin ^{3}\theta )d\the

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

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

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

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

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

[例2](1)(2020·全国卷Ⅲ)已知 sin theta +sin (theta +dfrac (pi )(3))=1,-|||-则 sin (theta

1.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 ;