Home › Bihar Board Class 12 (Commerce) › Mathematics › Integrals › With a positive, 1/(a^2 - x^2) integrates to:
With a positive, 1/(a^2 - x^2) integrates to:
A(1/a) sin^-1 (x/a)
B(1/2a) tan^-1 (x/a)
C(1/2a) log |(a+x)/(a-x)|
D(1/2a) log |(x-a)/(x+a)|
Answer & Solution
Correct answer: C. (1/2a) log |(a+x)/(a-x)|
Splitting 1/(a^2 - x^2) into partial fractions gives (1/2a) log |(a + x)/(a - x)|.
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