1/(cos x)^2怎么积分,

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/29 04:27:31
1/(cosx)^2怎么积分,1/(cosx)^2怎么积分,1/(cosx)^2怎么积分,∫dx/(cosx^2)=∫(sinx^2+cosx^2)dx/cosx^2=∫(sinxd-cosx)/co

1/(cos x)^2怎么积分,
1/(cos x)^2怎么积分,

1/(cos x)^2怎么积分,
∫dx/(cosx^2)
=∫(sinx^2+cosx^2)dx/cosx^2
=∫(sinxd-cosx)/cosx^2+∫dsinx/cosx
=∫sinxd(1/cosx)+∫dsinx/cosx
=sinx/cosx-∫dsinx/cosx+∫dsinx/cosx+C
=tanx+C