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Q.∫dxxx2−a2\int \dfrac{dx}{x \sqrt{x^2 - a^2}} equals

a
1asec⁡−1(x/a)+C\dfrac{1}{a} \sec^{-1}(x/a) + C
b
1alog⁡∣x+x2−a2∣+C\dfrac{1}{a} \log |x + \sqrt{x^2 - a^2}| + C
c
log⁡∣x+x2−a2∣+C\log |x + \sqrt{x^2 - a^2}| + C
d
sec⁡−1(x/a)+C\sec^{-1}(x/a) + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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