Integral Calculus Question 73

Question: $ \int_{{}}^{{}}{\frac{dx}{\sqrt{x^{2}+a^{2}}}} $ is equal to

[MP PET 2004]

Options:

A) $ \frac{1}{2}x\sqrt{x^{2}+a^{2}}+\frac{1}{2}a^{2}\log (x+\sqrt{x^{2}+a^{2}})+c $

B) $ \frac{1}{2}\log (x^{2}+a^{2})+c $

C) $ \log (x+\sqrt{x^{2}+a^{2}})+c $

D) $ \log (x-\sqrt{x^{2}+a^{2}})+c $

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Answer:

Correct Answer: C

Solution:

It is a fundamental concept.