What is the integral of (1/(sqrt(1-x^2))) ?

The integral of (1/(sqrt(1-x^2))) is arcsin(x)+C

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integral of (1/(sqrt(1-x^2)))

\int (\frac{1}{1 - x ^{2}}) d x

arcsin (x) + C

Solution steps

\int \frac{1}{1 - x ^{2}} d x

Use the common integral:

\int \frac{1}{1 - x ^{2}} d x = arcsin (x)

= arcsin (x)

Add a constant to the solution

= arcsin (x) + C

\int \frac{x - 3}{x ^{2} - 49} d x

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\int_{0}^{1} \int x e^{x} d x d x

\frac{d}{d x} (2 x^{3} + x + 1)

\frac{d}{d x} (x + \frac{25}{x})

What is the integral of (1/(sqrt(1-x^2))) ?
The integral of (1/(sqrt(1-x^2))) is arcsin(x)+C