What is the integral of (19)/(x^2+1) ?

The integral of (19)/(x^2+1) is 19arctan(x)+C

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integral of (19)/(x^2+1)

\int \frac{19}{x ^{2} + 1} d x

19 arctan (x) + C

Solution steps

\int \frac{19}{x ^{2} + 1} d x

Take the constant out:

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

= 19 \cdot \int \frac{1}{x ^{2} + 1} d x

Use the common integral:

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

= 19 arctan (x)

Add a constant to the solution

= 19 arctan (x) + C

\frac{\partial}{\partial x} (7 e^{x})

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

y^{^{'}} = \frac{x - 2}{y + 1}

\int - ∣ x ∣^{2} d x

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What is the integral of (19)/(x^2+1) ?
The integral of (19)/(x^2+1) is 19arctan(x)+C