作者stokes (stokes)
看板trans_math
标题Re: [积分] 94中正资管
时间Sun Jul 10 00:02:36 2005
※ 引述《mai911345 (mai911345)》之铭言：
: sinx
: ∫──────── dx
: sinx + sin(1-x)
sinx sinx
∫──────── dx=∫───────────dx let x-1/2=y
sinx + sin(1-x) 2sin(1/2)cos(x-1/2)
sin(y+1/2)
=∫──────────dy
2sin(1/2)cosy
[sinycos(1/2)+cosysin(1/2)]
=∫────────────── dy
2sin(1/2)cosy
dcosy
=-cot(1/2)/2∫────+1/2y
cosy
=-cot(1/2)/2 ln(cos(x-1/2))+x/2+c
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 140.112.251.240
1F：推 ek0519:i服了you~~合差化积也敢考 61.228.25.202 07/10