The author presents two tables of (definite and indefinite) integrals which occur in statistical communication theory and noise analysis. They are related to the so-called \(I_ e\)-function \[ I_ e(k,z)=\int^{z}_{0}e^{-x}I_ 0(kx)dx, \] where \(I_ 0(x)\) is the modified Bessel function. The first table contains integrals of the following 17 functions over the interval (\(\alpha\),\(\beta)\). Five of these integrals are expressed in terms of the following functions: the Gaussian hypergeometric function \({}_ 2F_ 1\), the hypergeometric functions of two variables \(F_ 1\) and \(F_ 4\), and the confluent hypergeometric function \(\Phi_ 2\). The second table contains integrals of the following 31 functions over the interval (\(\alpha\),\(\beta)\), which can be expressed in terms of \(I_ e(k,z)\), Bessel, and elementary functions. An appendix gives hints for the evaluation of the integrals.