x*(1+sin^2 x )/sin^2x 不定积分
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x*(1+sin^2x)/sin^2x不定积分x*(1+sin^2x)/sin^2x不定积分x*(1+sin^2x)/sin^2x不定积分原式=∫x*(csc^2x+1)=∫x*csc^2x+x(分开
x*(1+sin^2 x )/sin^2x 不定积分
x*(1+sin^2 x )/sin^2x 不定积分
x*(1+sin^2 x )/sin^2x 不定积分
原式=∫x*(csc^2x+1)
=∫x*csc^2x+x (分开积分)
前面= -x*cotx + ∫cotx = -x*cotx + ln |sinx|
后面= 1/2 x^2
记得加C
x*(1+sin^2 x )/sin^2x 不定积分
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