Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:
\(\int \frac{dx}{\sqrt{x^2-a^2}}\) equals
Options:
\(\sin^{-1}\left(\frac{x}{a}\right)+C\)
\(\log \left|x+\sqrt{x^{2}-a^{2}}\right|+C\)
\(\log \left|x+\sqrt{x^{2}+a^{2}}\right|+C\)
None
Correct Answer:
\(\log \left|x+\sqrt{x^{2}-a^{2}}\right|+C\)
Explanation:
Let \(x=a \sec \theta\)