1/(1+cos(x)*sin(x))怎么积分

来源：学生作业帮助网编辑：作业帮时间：2024/11/14 10:59:26

1/(1+cos(x)*sin(x))怎么积分
1/(1+cos(x)*sin(x))怎么积分

1/(1+cos(x)*sin(x))怎么积分
分子分母同时除以(cosx)^2:

分母=1/2（sinx+cosx)^2+1/2=1/2*2sin(x+π/4)^2+1/2=sin(x+π/4)^2+1/2=1/2(1-cos2x)+1/2
然后分子分母同时乘以2+cos2x
然后拆项即可
下面有问题的话可以继续帮您解决，谢谢

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