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

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

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

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

arcsin (t) + C

Solution steps

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

Use the common integral:

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

= arcsin (t)

Add a constant to the solution

= arcsin (t) + C

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