alleryStart learning →Splitting into partial fractions, what is the primitive of 1/((x-1)(x-2))?
Alog|(x - 1)(x - 2)| + c
Blog|(x - 2)/(x - 1)| + c
Clog|(x - 1)/(x - 2)| + c
D-1/(x - 1)(x - 2) + c
Answer & Solution
Correct answer: B. log|(x - 2)/(x - 1)| + c
Partial fractions give 1/(x-2) - 1/(x-1), which integrates to log|(x-2)/(x-1)|.
Keep practising Indefinite Integration
Browse all Indefinite Integration questions for MHT-CET, or explore more Mathematics topics.
Related questions
Which method suits (3x+1)/((x-1)(x+2)) when integrating?Which method finds the antiderivative of x cos x most easily?For x^2 log x by parts, which function is taken first?Dividing first, what is the integral of (x^2 + 1)/(x^2 - 1)?Factorising the quadratic x^2 - 5x + 6, what is the primitive of its reciprocal?Which is the partial fraction form for 1/((x-1)^2 (x+2))?Let 1/((x-a)(x-b)) = A/(x-a) + B/(x-b). Then A equals what?Splitting 1/(x(x+1)) into two fractions, what is its antiderivative?