What is the integral of (arcsin(sqrt(x)))/(sqrt(x)) ?

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

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integral of (arcsin(sqrt(x)))/(sqrt(x))

\int \frac{arcsin ( x )}{x} d x

2 x arcsin (x) + 2 1 - x + C

Solution steps

\int \frac{arcsin ( x )}{x} d x

Apply Integration By Parts

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

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

\int \frac{1}{1 - x} d x = - 2 1 - x

= 2 x arcsin (x) - (- 2 1 - x)

Simplify

= 2 x arcsin (x) + 2 1 - x

Add a constant to the solution

= 2 x arcsin (x) + 2 1 - x + C

y^{^{''}} + 16 y^{^{'}} + 80 y = 0

\frac{d}{d x} (- x^{3} + 3 x^{2} + 9 x - 1)

e^{2 x}, - 2

\int \frac{1}{- x ^{2} + 249 x + 250} d x

x \to \infty lim (\frac{( ln ( 3 x ) )}{e ^{7 x}})

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