∫xcosx/(sinx)^2dx分部积分法咋做?
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∫xcosx/(sinx)^2dx分部积分法咋做?∫xcosx/(sinx)^2dx分部积分法咋做?∫xcosx/(sinx)^2dx分部积分法咋做?∫xcosx/sin²xdx=∫xcos
∫xcosx/(sinx)^2dx分部积分法咋做?
∫xcosx/(sinx)^2dx分部积分法咋做?
∫xcosx/(sinx)^2dx分部积分法咋做?
∫xcosx/sin²xdx
=∫xcosx·csc²xdx
=-∫xcosxdcotx
=-xcosx·cotx+∫cotxdxcosx
=-xcosx·cotx+∫[cotx·﹙-xsinx+cosx﹚]dx
=-xcosx·cotx+∫﹙-cosx·x+cos²x/sinx﹚dx
=-xcosx·cotx-∫cosx·xdx+∫1-sin²x/sinxdx
=-xcosx·cotx-∫xdsinx+∫cscxdx-∫sinxdx
=-xcosx·cotx-xsinx+∫sinxdx+∫cscxdx+cosx
=-xcosx·cotx-xsinx+2cosx+∫cscxdx
然后∫cscxdx=㏑|cscx-cotx|+c （课本上有）带入上试
=-xcos²x/sinx-xsinx+2cosx+㏑|cscx-cotx|+c
好久不做忘记了，对不起
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