Question

根号（cosx-cosx^3）dx 求上下线分别是二分之派 负二分之派 的积分

Answer 1

根号（cosx-cosx^3）dx

=根号cosx(1-cosx^2）dx

=(根号cosx)(-sinx)dx (-Pi/2,0) +(根号cosx)(sinx)dx (0,Pi/2)

=2/3 (cosx)^(3/2) (-Pi/2,0) - 2/3 (cosx)^(3/2) (0,Pi/2)

=4/3