What Is the Integral of Arctan?

By Staff WriterLast Updated Apr 13, 2020 2:16:28 PM ET

The integral of arctan is x times the inverse tangent of x, minus one-half of the natural logarithm of one plus x squared, plus the constant expressed as C. Using mathematical notation, it is expressed as the integral of arctan(x) dx = x * arctan(x) - (1/2) ln(1+x^2) + C.