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Q 1 of 12
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$$\int \frac{dx}{\sqrt{a^2 - x^2}}$$
Solution Breakdown
Step-by-Step Mathematical Explanation
1
Trig Substitution & Differential
2
Radical Simplification
3
Integrate in $\theta$ Domain
4
Back-Substitute to $x$
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Trig Sub Rule:
For $\sqrt{a^2-x^2}$ use $x=a\sin\theta$; for $\sqrt{a^2+x^2}$ use $x=a\tan\theta$; for $\sqrt{x^2-a^2}$ use $x=a\sec\theta$.