What is the integral of (11)/(sqrt(1-x^2)) ?

The integral of (11)/(sqrt(1-x^2)) is 11arcsin(x)+C

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integral of (11)/(sqrt(1-x^2))

\int \frac{11}{1 - x ^{2}} d x

11 arcsin (x) + C

Solution steps

\int \frac{11}{1 - x ^{2}} d x

Take the constant out:

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

= 11 \cdot \int \frac{1}{1 - x ^{2}} d x

Use the common integral:

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

= 11 arcsin (x)

Add a constant to the solution

= 11 arcsin (x) + C

\frac{d}{d x} (8 x^{2} sin (x) tan (x))

\frac{d y}{d x} = \frac{y ^{2} - y}{x}

x^{2} y^{^{''}} - 4 x y^{^{'}} + 6 y = 0, y (1) = 0.4, y^{^{'}} (1) = 0

y d x - (x + y) d y = 0

(5, - 5), (- 3, 5)

What is the integral of (11)/(sqrt(1-x^2)) ?
The integral of (11)/(sqrt(1-x^2)) is 11arcsin(x)+C