Indefinite Integrals of Form Sqrt (a² + x²)

In calculus, an antiderivative, primitive, or indefinite integral of a function f is a function F whose derivative is equal to f, i.e., F ′ = f. The process of solving for antiderivatives is antidifferentiation (or indefinite integration). Antiderivatives are related to definite integrals through the fundamental theorem of calculus: the definite integral of a function over an interval is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval. - Wikipedia

When this page was first created back in the late 1990s, it was nearly impossible to locate tables of integrals (both definite and indefinite) on the Internet. Now, they are everywhere; being one of the first doesn't count for much on the Web.

RF CafE: Integrals of the form sqrt 1/x(a^2 + x^2)

RF CafE: Integrals of the form sqrt 1/x^2(a^2 + x^2)

RF CafE: Integrals of the form sqrt 1/(a^2 + x^2)^3

Source: CRC Standard Math Tables, 1987

Johanson Technology Chip Antennas - RF Cafe Website

RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The World Wide Web (Internet) was largely an unknown entity at the time and bandwidth was a scarce commodity. Dial-up modems blazed along at 14.4 kbps while tying up your telephone line, and a lady's voice announced "You've Got Mail" when a new message arrived...