作者chrisjon (布丁狗)
看板trans_math
标题Re: [积分]
时间Tue Feb 27 17:25:20 2007
※ 引述《king911015 (早已放弃爱上你)》之铭言:
: ∫sin^5 xdx
∫sin^5 xdx
= -∫sin^4 xdcosx
= -∫(1-cos^2 x)^2 xdcosx
= -∫1 - 2cos^2 x + cos^4 x dcosx
= -cosx + (2/3)cos^3 x -(1/5)cos^5 x + c
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