Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 15/Definite Integrals involving Exponential Functions

Definite Integrals involving Exponential Functions

 * $15.68$: Definite Integral to Infinity of $e^{-a x} \cos b x$


 * $15.69$: Definite Integral to Infinity of $e^{-a x} \sin b x$


 * $15.70$: Definite Integral to Infinity of $\dfrac {e^{-a x} \sin b x} x$


 * $15.71$: Definite Integral to Infinity of $\dfrac {e^{-a x} - e^{-b x} } x$


 * $15.72$: Definite Integral to Infinity of $e^{-a x^2}$


 * $15.73$: Definite Integral to Infinity of $e^{-a x^2} \cos b x$


 * $15.74$: Definite Integral to Infinity of $\map \exp {-\paren {a x^2 + b x + c} }$


 * $15.75$: Definite Integral over Reals of $\map \exp {-\paren {a x^2 + b x + c} }$


 * $15.76$: Definite Integral to Infinity of $x^n e^{-a x}$


 * $15.77$: Definite Integral to Infinity of $x^m e^{-a x^2}$


 * $15.78$: Definite Integral to Infinity of $\map \exp {a x^2 + \dfrac b {x^2} }$


 * $15.79$: Definite Integral to Infinity of $\dfrac x {e^x - 1}$


 * $15.80$: Definite Integral to Infinity of $\dfrac {x^{n - 1} } {e^x - 1}$


 * $15.81$: Definite Integral to Infinity of $\dfrac x {e^x + 1}$


 * $15.82$: Definite Integral to Infinity of $\dfrac {x^{n - 1} } {e^x + 1}$


 * $15.83$: Definite Integral to Infinity of $\dfrac {\sin m x} {e^{2 \pi x} - 1}$


 * $15.84$: Definite Integral to Infinity of $\paren {\dfrac 1 {1 + x} - e^{-x} } \dfrac 1 x$


 * $15.85$: Definite Integral to Infinity of $\dfrac {e^{-x^2} - e^{-x} } x$


 * $15.86$: Definite Integral to Infinity of $\dfrac 1 {e^x - 1} - \dfrac {e^{-x} } x$


 * $15.87$: Definite Integral to Infinity of $\dfrac {e^{-a x} - e^{-b x} } {x \sec p x}$


 * $15.88$: Definite Integral to Infinity of $\dfrac {e^{-a x} - e^{-b x} } {x \csc p x}$


 * $15.89$: Definite Integral to Infinity of $\dfrac {e^{-a x} \paren {1 - \cos x} } {x^2}$