What is the integral of 3/(sqrt(1-x^2)) ?

The integral of 3/(sqrt(1-x^2)) is 3arcsin(x)+C

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integral of 3/(sqrt(1-x^2))

\int \frac{3}{1 - x ^{2}} d x

3 arcsin (x) + C

Solution steps

\int \frac{3}{1 - x ^{2}} d x

Take the constant out:

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

= 3 \cdot \int \frac{1}{1 - x ^{2}} d x

Use the common integral:

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

= 3 arcsin (x)

Add a constant to the solution

= 3 arcsin (x) + C

\int_{0}^{l n (3)} \frac{4}{e ^{x} + 2} d x

t \to 0 lim (\frac{4}{t} - \frac{4}{e ^{t} - 1})

x \to 4 lim (2 x - 1)

\frac{d}{d x} (5 e^{4 x})

\int \frac{sin ^{5} ( x )}{x} d x

What is the integral of 3/(sqrt(1-x^2)) ?
The integral of 3/(sqrt(1-x^2)) is 3arcsin(x)+C