What is the integral of 5/(sqrt(1-x^2)) ?

The integral of 5/(sqrt(1-x^2)) is 5arcsin(x)+C

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integral of 5/(sqrt(1-x^2))

\int \frac{5}{1 - x ^{2}} d x

5 arcsin (x) + C

Solution steps

\int \frac{5}{1 - x ^{2}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int \frac{1}{1 - x ^{2}} d x

Use the common integral:

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

= 5 arcsin (x)

Add a constant to the solution

= 5 arcsin (x) + C

y = x^{3} - 5 x, y = 4 x

\int \frac{x ^{2} + 2 x - 3}{x ^{4}} d x

- 1 x^{- \frac{3}{5}}

\int_{0}^{y} 2 e^{- x - y} d x

\int cos (wt) d t

What is the integral of 5/(sqrt(1-x^2)) ?
The integral of 5/(sqrt(1-x^2)) is 5arcsin(x)+C