Mathematics

# $\int {\frac{1}{{\left( {x - 1} \right)\left( {x - 2} \right)}}dx}$

##### SOLUTION
$\int \frac{1}{(x-1)(x-2)}dx=\int \frac{(x-1)-(x-2)}{(x-1)(x-2)}dx$
$=\int\frac{1}{x-2}dx-\int\frac{1}{x-1}dx$
$=ln\left|x-2\right| -ln\left|x-1\right|+c$
$=ln\left|\frac{x-2}{x-1}\right|+c$

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Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

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