Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 14/Integrals Involving a squared minus x squared

Integrals Involving $a^2 - x^2$, $x^2 < a^2$

$14.163$:

Primitive of $\dfrac 1 {a^2 - x^2}$: Logarithm Form

Primitive of $\dfrac 1 {a^2 - x^2}$: $\tanh^{-1}$ form

$14.164$: Primitive of $\dfrac x {a^2 - x^2}$

$14.165$: Primitive of $\dfrac {x^2} {a^2 - x^2}$

$14.166$: Primitive of $\dfrac {x^3} {a^2 - x^2}$

$14.167$: Primitive of $\dfrac 1 {x \left({a^2 - x^2}\right)}$

$14.168$: Primitive of $\dfrac 1 {x^2 \left({a^2 - x^2}\right)}$

$14.169$: Primitive of $\dfrac 1 {x^3 \left({a^2 - x^2}\right)}$

$14.170$: Primitive of $\dfrac 1 {\left({a^2 - x^2}\right)^2}$

$14.171$: Primitive of $\dfrac x {\left({a^2 - x^2}\right)^2}$

$14.172$: Primitive of $\dfrac {x^2} {\left({a^2 - x^2}\right)^2}$

$14.173$: Primitive of $\dfrac {x^3} {\left({a^2 - x^2}\right)^2}$

$14.174$: Primitive of $\dfrac 1 {x \left({a^2 - x^2}\right)^2}$

$14.175$: Primitive of $\dfrac 1 {x^2 \left({a^2 - x^2}\right)^2}$

$14.176$: Primitive of $\dfrac 1 {x^3 \left({a^2 - x^2}\right)^2}$

$14.177$: Primitive of $\dfrac 1 {\left({a^2 - x^2}\right)^n}$

$14.178$: Primitive of $\dfrac x {\left({a^2 - x^2}\right)^n}$

$14.179$: Primitive of $\dfrac 1 {x \left({a^2 - x^2}\right)^n}$

$14.180$: Primitive of $\dfrac {x^m} {\left({a^2 - x^2}\right)^n}$

$14.181$: Primitive of $\dfrac 1 {x^m \left({a^2 - x^2}\right)^n}$