Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 15/Definite Integrals involving Rational or Irrational Expressions

Definite Integrals involving Rational or Irrational Expressions

 * $15.18$ Definite Integral to Infinity of $\dfrac 1 {x^2 + a^2}$


 * $15.19$: Definite Integral to Infinity of $\dfrac {x^{p - 1} } {1 + x}$


 * $15.20$: Definite Integral to Infinity of $\dfrac {x^m} {x^n + a^n}$


 * $15.21$: Definite Integral to Infinity of $\dfrac {x^m} {1 + 2 x \cos \beta + x^2}$


 * $15.22$: Definite Integral from $0$ to $a$ of $\dfrac 1 {\sqrt {a^2 - x^2} }$


 * $15.23$: Definite Integral from $0$ to $a$ of $\sqrt {a^2 - x^2}$


 * $15.24$: Definite Integral from $0$ to $a$ of $x^m \paren {a^n - x^n}^p$


 * $15.25$: Definite Integral from $0$ to Infinity of $\dfrac {x^m} {\paren {x^n + a^n}^r}$