求不定积分∫cosx/(sin^3)x

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求不定积分∫cosx/(sin^3)x求不定积分∫cosx/(sin^3)x求不定积分∫cosx/(sin^3)x∫cosx/(sin^3)xdx=∫dsinx/(sin^3)x=(sinx)^(-2

求不定积分∫cosx/(sin^3)x
求不定积分∫cosx/(sin^3)x

求不定积分∫cosx/(sin^3)x
∫cosx/(sin^3)x dx=∫dsinx/(sin^3)x=(sinx)^(-2)/(-2)+C=-1/(2sinx^2)+C

∫cosx/(sin^3)x dx
=∫(sinx)'/(sin^3x)dsinxdx
=-1/(2sin^2x)+C