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

The integral of (1/(sqrt(1+x^2))) is ln|sqrt(x^2+1)+x|+C

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

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

ln x^{2} + 1 + x + C

Solution steps

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

Use the common integral:

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

= ln x^{2} + 1 + x

Add a constant to the solution

= ln x^{2} + 1 + x + C

\int \frac{1}{x ^{2} - 10} d x

\int e^{- 0.3 x} d x

cos (x^{2}) sin (x)

\frac{x - 5}{9 x ^{2} e ^{x}}

\frac{\partial}{\partial x} (2 x + y)

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