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Popular Calculus >

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

Solution

integral

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

Solution

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

Graph

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Frequently Asked Questions (FAQ)

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