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

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

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

integral

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

arctan (x) + C

Solution steps

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

Use the common integral:

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

= arctan (x)

Add a constant to the solution

= arctan (x) + C

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