∫π/2 0 (cos2x/cosx+sinx)dx 的定积分
问题描述：
∫π/2 0 (cos2x/cosx+sinx)dx 的定积分
答
∫π/2 0 (cos2x/cosx+sinx)dx
=∫π/2 0 (cos²x-sin²x)/(cosx+sinx)dx
=∫π/2 0 (cosx-sinx)dx
=sinx+cosx π/2 0
=(1+0)-(0+1)
=0