Integral of $$$\frac{1}{\sqrt{1 - x^{2}}}$$$

The calculator will find the integral/antiderivative of $$$\frac{1}{\sqrt{1 - x^{2}}}$$$, with steps shown.

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Find $$$\int \frac{1}{\sqrt{1 - x^{2}}}\, dx$$$.


The integral of $$$\frac{1}{\sqrt{1 - x^{2}}}$$$ is $$$\int{\frac{1}{\sqrt{1 - x^{2}}} d x} = \operatorname{asin}{\left(x \right)}$$$:

$${\color{red}{\int{\frac{1}{\sqrt{1 - x^{2}}} d x}}} = {\color{red}{\operatorname{asin}{\left(x \right)}}}$$


$$\int{\frac{1}{\sqrt{1 - x^{2}}} d x} = \operatorname{asin}{\left(x \right)}$$

Add the constant of integration:

$$\int{\frac{1}{\sqrt{1 - x^{2}}} d x} = \operatorname{asin}{\left(x \right)}+C$$

Answer: $$$\int{\frac{1}{\sqrt{1 - x^{2}}} d x}=\operatorname{asin}{\left(x \right)}+C$$$