三、解答题-|||-1.计算 (int )_(1)^3((x)^3+dfrac (3)(x)+1)dx-|||-2.计算 (int )_(0)^2pi |sin t|dt-|||-3.计算 (int )_(0)^dfrac (pi {2)}sin x(cos )^5xdx.-|||-4.计算 (int )_(0)^1dfrac (sqrt {x)}(1+sqrt {x)}dx-|||-5.计算 (int )_(0)^1(x)^2(e)^xdx-|||-6.计算 (int )_(0)^+infty dfrac (arctan x)({(1+{x)^2)}^dfrac (3{2)}}dx-|||-7.求由 =(2)^x 与直线 y=1-x =1 所围成平面图形的面积.-|||-8.求由抛物线 ^2=4x 与直线 x=1 所围成图形绕x轴旋转所得的旋转体体-|||-积.