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

\int (\frac{1}{1 + x ^{2}})^{2} d x

\int \frac{1}{( a ^{2} + x ^{2} )} d x

y^{^{'}} = \frac{( 1 - x - y )}{x + y}

\frac{1}{4} q^{^{''}} + 20 q^{^{'}} + 300 q = 0

\int 2^{X} d X

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