Question

请问高数填空题详解？

2、5、10题，求求大神，感谢

Answer 1

第 10 题 重答：

I = ∫<-π/2, π/2>[x^5+(sinx)^2]cosxdx

= ∫<-π/2, π/2>x^5cosxdx + ∫<-π/2, π/2>(sinx)^2cosxdx

= 0 + 2∫<0, π/2>(sinx)^2cosxdx

= 2∫<0, π/2>(sinx)^2dsinx = (2/3)[(sinx)^3]<0, π/2> = 2/3

Answer 2