求由曲线y=sinx,y=cosx和直线x=0,x=π⼀2所围成图形绕x轴旋转后的体积

2025-12-18 00:45:57
推荐回答(2个)
回答1:

仅作参考~

回答2:

sinx=cosx

x=π/4

Vx

=π∫(π/4->π/2) [(sinx)^2-(cosx)^2] dx

=-π∫(π/4->π/2) cos2x dx

=-(1/2)π[sin2x]|(π/4->π/2)

=π/2