求不定积分cos^2/sinx

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求不定积分cos^2/sinx
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求不定积分cos^2/sinx
求不定积分cos^2/sinx

求不定积分cos^2/sinx
int cosx^2/sinx +sinx^2/sinx - sinx dx
= int 1/sinx - sinx d x
= int cscx dx + cosx
= log(tan(x/2)) + cosx + C

∫cos^2x/sinx dx
=∫(1-sin^2x)/sinx dx
=∫1/sinx dx-∫sinx dx
=∫cscx dx-∫sinx dx
=ln(cscx-cotx)+cosx+C