求不定积分:1/(2-x)*1/(x-3) dx ②x/{(x-2)(x-1)}

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求不定积分:1/(2-x)*1/(x-3)dx②x/{(x-2)(x-1)}求不定积分:1/(2-x)*1/(x-3)dx②x/{(x-2)(x-1)}求不定积分:1/(2-x)*1/(x-3)dx②

求不定积分:1/(2-x)*1/(x-3) dx ②x/{(x-2)(x-1)}
求不定积分:1/(2-x)*1/(x-3) dx ②x/{(x-2)(x-1)}

求不定积分:1/(2-x)*1/(x-3) dx ②x/{(x-2)(x-1)}
1/(2-x)*1/(x-3)= 1/(x-2)-1/(x-3) , I1=ln|(x-2)| -ln|(x-3)| + C =ln|(x-2)/(x-3)| + C

x/{(x-2)(x-1)} = 2/(x-2)-1/(x-1)
I2 = 2 ln|(x-2)| -ln|(x-1)| + C