alleryStart learning →Which standard result applies to 1/(x^2 - a^2)?
A(1/2a) log|(x + a)/(x - a)| + c
B(1/a) log|x^2 - a^2| + c
C(1/2a) log|(x - a)/(x + a)| + c
D(1/a) tan^-1(x/a) + c
Answer & Solution
Correct answer: C. (1/2a) log|(x - a)/(x + a)| + c
Splitting 1/(x^2 - a^2) into partial fractions gives (1/2a)[1/(x-a) - 1/(x+a)].
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?