帮忙求一道 定积分 感谢了!
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=∫t²sint-2t²sin²t+sin³tdt
=-∫t²dcost-∫t²(1-cos2t)dt+∫(-π到π)sin³tdt
=-t²cost+∫costdt²-t³/3+1/2∫t²dsin2t+0
=-4π²-8π³/3+2∫tdsint+t²sin2t/2-1/2∫sin2tdt²
=-4π²-8π³/3+2tsint+2cost+0+1/2∫tdcos2t
=-4π²-8π³/3+4π+tcos2t/2-sin2t/4
=5π-4π²-8π³/3
=-∫t²dcost-∫t²(1-cos2t)dt+∫(-π到π)sin³tdt
=-t²cost+∫costdt²-t³/3+1/2∫t²dsin2t+0
=-4π²-8π³/3+2∫tdsint+t²sin2t/2-1/2∫sin2tdt²
=-4π²-8π³/3+2tsint+2cost+0+1/2∫tdcos2t
=-4π²-8π³/3+4π+tcos2t/2-sin2t/4
=5π-4π²-8π³/3
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感谢了!!
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