Question

高中数学定积分.请问这八道题怎么做（如图），求有过程，谢谢！！！

Answer 1

（1）原式=(sinx+cosx)|(0,π/2)
=1+0-0-1
=0
（2）闭李闭原式=(e^x-2ln|x|)|(1,2)
=e^2-2ln2-e+0
=e^2-e-ln4
（3）原式=[(2/3)*x^(3/2)-(1/3)*x^3]|(0,1)
=2/3-1/3-0+0
=1/3
（4）原式=(x^2+1/x-ln|x|)|(1,3)
=9+1/轿裂3-ln3-1-1+0
=22/3-ln3
（5）原式=(1/2)*∫(0,π/2) (1-cosx)dx
=(1/2)*(x-sinx)|(0,π/2)
=(1/2)*(π/2-1-0+0)
=π/4-1/2
（6）原式=ln|x-1||(2,e+1)
=1-0
=1
（7）原式=(1/2)*e^(2x)|(0,1)
=(1/2)*e^2-1/2
=(e^2-1)/2
（8）原式=(1/2)*sin2x|(π/6,π/4)
=(1/2)*(1-√扰租3/2)
=1/2-√3/4