Category:Primitive of Reciprocal of x by Root of a squared minus x squared
Jump to navigation
Jump to search
This category contains pages concerning Primitive of Reciprocal of x by Root of a squared minus x squared:
Inverse Hyperbolic Secant Form
For $a > 0$ and $0 < \size x < a$:
- $\ds \int \frac {\d x} {x \sqrt {a^2 - x^2} } = -\frac 1 a \sech^{-1} {\frac {\size x} a} + C$
Logarithm Form
For $a > 0$ and $0 < \size x < a$:
- $\ds \int \frac {\d x} {x \sqrt {a^2 - x^2} } = -\frac 1 a \map \ln {\frac {a + \sqrt {a^2 - x^2} } {\size x} } + C$
Pages in category "Primitive of Reciprocal of x by Root of a squared minus x squared"
The following 4 pages are in this category, out of 4 total.
P
- Primitive of Reciprocal of x by Root of a squared minus x squared
- Primitive of Reciprocal of x by Root of a squared minus x squared/Inverse Hyperbolic Secant Form
- Primitive of Reciprocal of x by Root of a squared minus x squared/Logarithm Form
- Primitive of Reciprocal of x by Root of a squared minus x squared/Logarithm Form/Also presented as