Class 12 Integrals · Conceptual Answer1 Marksindefinite_integration
Class 12 Maths · Integrals · Conceptual Answer #132
Evaluate \(\int \frac{1}{\sqrt{1 - x^{2}}}\,dx\). Work for −1<x<1.
✅ Step-by-Step Solution
Final Answer: \(\operatorname{asin}{\left(x \right)}\) + C
- Use the standard derivative d(arcsin x)/dx=1/√(1−x²) for |x|<1.
- Therefore the required integral is \(\operatorname{asin}{\left(x \right)}\) + C.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Use the standard derivative d(arcsin x)/dx=1/√(1−x²) for |x|<1.
- [0.5 marks] Therefore the required integral is \(\operatorname{asin}{\left(x \right)}\) + C.
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