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∫sint*sinwtdt怎么求积分?还有∫cost*coswtdt?
人气:403 ℃ 时间:2020-04-07 01:41:36
解答
用积化和差公式:sinxsiny=(1/2)[cos[(x-y)-cos(x+y)],cosxcosy=(1/2)[cos(x+y)+cos(x-y)]∫sint*sinωt dt= (1/2)∫cos(t-ωt) dt - (1/2)∫cos(t+ωt) dt= (1/2)∫cos(1-ω)t dt - (1/2)∫cos(1+ω)t dt= (1/2)/(1...
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