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

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

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

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

arcsin (v) + C

Solution steps

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

Use the common integral:

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

= arcsin (v)

Add a constant to the solution

= arcsin (v) + C

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\int_{3}^{5} (- x^{2} + 8 x - 12) d x

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