What is the integral of 7/(sqrt(1-x^2)) ?

The integral of 7/(sqrt(1-x^2)) is 7arcsin(x)+C

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integral of 7/(sqrt(1-x^2))

\int \frac{7}{1 - x ^{2}} d x

7 arcsin (x) + C

Solution steps

\int \frac{7}{1 - x ^{2}} d x

Take the constant out:

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

= 7 \cdot \int \frac{1}{1 - x ^{2}} d x

Use the common integral:

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

= 7 arcsin (x)

Add a constant to the solution

= 7 arcsin (x) + C

\frac{\partial}{\partial x} (35 x^{6} y^{4} - 24 x^{5} y^{3})

\frac{d y}{d t} - \frac{3}{t} y = 2 t^{3} e^{2 t}

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

k = 1 \sum \infty e^{- k}

x \to \infty lim (e^{x} - x)

What is the integral of 7/(sqrt(1-x^2)) ?
The integral of 7/(sqrt(1-x^2)) is 7arcsin(x)+C