Integral Calculus Question 283
Question: $ \int_{{}}^{{}}{\frac{1}{x\sqrt{x^{2}-1}}\ dx=} $
[MP PET 1988]
Options:
A) $ {{\cos }^{-1}}x+c $
B) $ {{\sec }^{-1}}x+c $
C) $ {{\cot }^{-1}}x+c $
D) $ {{\tan }^{-1}}x+c $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \int_{{}}^{{}}{\frac{1}{x\sqrt{x^{2}-1}},dx={{\sec }^{-1}}x+c} $ (formula).