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Calculus · Integrals

Integrate 1/(x^2 + 1)

\int \frac{1}{x^{2} + 1}\, dx

Step by step

  1. \int \frac{1}{x^{2} + 1}\, dx

    Find an antiderivative.

  2. \int \frac{1}{x^{2} + 1}\, dx = \operatorname{atan}{\left(x \right)}

    Recognise an inverse-trig / inverse-hyperbolic form.

  3. F(x) = \operatorname{atan}{\left(x \right)} + C

    Add the constant of integration.

Reveal the answer
\operatorname{atan}{\left(x \right)} + C