Semi-Integral

An Integral of order 1/2. The semi-integral of the Constant Function $f(x)=c$ is

$${d^{-1/2} c\over dx^{-1/2}} = 2c\sqrt{x\over\pi}.$$

See also Semiderivative

References

Spanier, J. and Oldham, K. B. An Atlas of Functions. Washington, DC: Hemisphere, pp. 8 and 14, 1987.