Integral Calculus Question 60

Question: $ \int{\frac{dx}{a^{2}-x^{2}}} $ is equal to

[EAMCET 2002]

Options:

A) $ \frac{1}{a}{{\tan }^{-1}}( \frac{x}{a} ) $

B) $ \frac{1}{2a}{{\sin }^{-1}}( \frac{a-x}{a+x} ) $

C) $ \frac{1}{2a}\log ,( \frac{a+x}{a-x} ) $

D) $ \frac{1}{2a}\log ,( \frac{a-x}{a+x} ) $

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Answer:

Correct Answer: C

Solution:

It is a formula.