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Questions
SC9QXM6JHT
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 \(x=a \sec \theta\)
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