求解此高数题:

2024-07-31 11:35:27
推荐回答(1个)
回答1:

没有下限此谨?
解法就是三角换元脱根号,换元x=tanu
=∫1/tan³usecudtanu
=∫cot²卖闷ucscudu
=-∫cotudcscu
=-cotucscu+∫cscudcotu
=-cotucscu-∫(cot²u+1)cscudu
=(-cotucscu-∫cscudu)/中扒弯2
=(-cotucscu-ln|cscu-cotu|)/2+C