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Home › CBSE Class 12 (Commerce) › Mathematics › Integrals › Integrate 1/(x^2 - 4) by the (1/2a) log formula.

Integrate 1/(x^2 - 4) by the (1/2a) log formula.

A(1/2) log |(x-2)/(x+2)|
B(1/4) log |(x-2)/(x+2)|
C(1/4) tan^-1 (x/2)
D(1/2) log |(x+2)/(x-2)|
Answer & Solution
Correct answer: B. (1/4) log |(x-2)/(x+2)|
Using 1/(x^2 - a^2) with a = 2 gives (1/2a) log |(x - a)/(x + a)| = (1/4) log |(x - 2)/(x + 2)|.
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