天气预报 > 其他 > 1/cosx的原函数是多少
1/cosx的原函数是多少
更新时间: 2020-10-29 00:00:00  

1/cosx的原函数是ln|secx+tanx|+C。解答如下:

先算1/sinx原函数,S表示积分号

S1/sinxdx

=S1/(2sin(x/2)cos(x/2))dx

=S1/[tan(x/2)cos²(x/2)]d(x/2)

=S1/[tan(x/2)]d(tan(x/2))

=ln|zhitan(x/2)|+C

因为tan(x/2)=sin(x/2)/cos(x/2)=2sin²(x/2)/[2sin(x/2)cos(x/2)]=(1-cosx0/sinx=cscx-cotx

所以S1/sinxdx=ln|cscx-cotx|+C

S1/cosxdx

=S1/sin(x+派/2)d(x+派/2)

=ln|csc(x+派/2)-cot(x+派/2)|+C

=ln|secx+tanx|+C

关键词: cosx 函数 多少

1/cosx的原函数是多少相关经验

天气预报

最新推荐

页面:/news/view-2191405/ | 耗时:0.5800 s | 内存:2.11 MB | 查询:4 | 缓存读取:3 写入:0 | 加载文件:25
select * from tbl_Articles WHERE ArticleID=2191405 LIMIT 0,1
select * from tbl_Articles_data WHERE ArticleID=2191405 LIMIT 0,1
select * from tbl_Articles_sphinx where id=2191405 LIMIT 0,1
SELECT ArticleID,Title FROM tbl_Articles WHERE ArticleID IN(1125329,1127665,1093923,1114048,1117620,1058085,1046654,1064553,1111722,1275494,1055149,1275515,1053074,1042893,1048110,1111368,1062712,2666365,1053404,1050439,1061426,1062866,1121936,1057932,1057710,1050301,1129209,1050917,1102738,1056514) ORDER BY field (ArticleID,1125329,1127665,1093923,1114048,1117620,1058085,1046654,1064553,1111722,1275494,1055149,1275515,1053074,1042893,1048110,1111368,1062712,2666365,1053404,1050439,1061426,1062866,1121936,1057932,1057710,1050301,1129209,1050917,1102738,1056514)