1?Cxx?????|)4cot()4csc(|ln21??|cotcsc|lnxx??6竞赛题??dxxxxsin4cos3sin.4求???dxxxxIsin4cos3sin:解???????dxxxxxxsin4cos3cos4)cos4sin3(31??????dxxxxxsin4cos3cos4sin331???dxxxxsin4cos3cos347竞赛题??????dxxxxxsin4cos3cos4sin331???dxxxxsin4cos3cos34?????xxxxdsin4cos3)sin4cos3(31?????dxxxxxxsin4cos3sin4)sin4cos3(94|sin4cos3|ln31xx?????dx194???dxxxxsin4cos3sin916|sin4cos3|ln31xx???Ix91694??8竞赛题|sin4cos3|ln31xxI???因为,91694Ix??CxxxI??????)94|sin4cos3|ln31(259所以Cxxx?????254|sin4cos3|ln2539竞赛题????dxxxxx)1(1.5884求????dxxxxx)1(1:884解??????dxxxxxx)1()2()1(8488?????dxxxxx)121(837????????dxxxdxxxdxx8387112110竞赛题????????????dxxxxxxxddxx)11(211)1(8121434388?????????????????4444881)1(41211)1(41)21(1)1(411xxdxxdxxddxx||lnx?|1|ln418x??|1|ln814x??Cx???|1|ln814||lnx?|1|ln418x??Cxx????|11|ln8144????????dxxxdxxxdxx83871121
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