推 ek0519:i服了you~~合差化積也敢考 61.228.25.202 07/10
※ 引述《mai911345 (mai911345)》之銘言：
: 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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