请问这道高数证明题怎么做。六

2025-03-04 03:26:42
推荐回答(1个)
回答1:

0~π/2 |cosx|=cosx
π/2~π |cosx|=-cosx -cos(x+π/2)=sinx
π~3π/2 |cosx|=-cosx -cos(x+π)=cosx
3π/2~2π |cosx|=cosx cos(x+3π/2)=sinx
∫[0, π/2]f(sinx)dx=∫[0, π/2]f(cosx)dx