The aim of this paper is to obtain asymptotic expansions for certain \(q\)-integrals and is probably a continuation of \textit{A. Fitouhi} and \textit{M. Moncef Hamza} [J. Approximation Theory 115, No. 1, 144--166 (2002; Zbl 1003.33007)]. The first asymptotic expansion is for a \(q\)-analogue of the wellknown formula \[ \Gamma(x)=\int_{0}^{\infty}t^{x-1}e^{-t}\,dt,\quad \mathrm{Re}(x)>0. \] To this aim, two \(q\)-analogues, 2.22 in two different forms and 2.23 are constructed. It is, however, not clear why the two expressions in 2.22 are equal. The correct version of 2.22 is given by \textit{P. Nalli} [Palermo Rend. 47, 337--374 (1923; JFM 49.0196.02)]. This can be seen by applying the substitution \(qt\to{x}\) in the first expression of 2.22. The Ramanujan summation formula [\textit{G. Gasper} and \textit{M. Rahman}, Basic hypergeometric series. Encyclopedia of Mathematics and Its Applications, 34. (Cambridge etc.: Cambridge University Press). (1990; Zbl 0695.33001)] is used for the proof of the correct equation 2.23. Two new \(q\)-trigonometric functions [\textit{A. Fitouhi} and \textit{M. Moncef Hamza}, loc. cit.], different from \textit{W. Hahn} [Math. Nachr. 2, 340--379 (1949; Zbl 0033.05703)], are introduced. They are also presented in \(q\)-hypergeometric form, but lack the corresponding definition. Also no convergence region is given. The cited \(q\)-Riemann-Lebesgue lemma does not yet exist. Also a formula for change of variable in a \(q\)-integral is presented in 2.17. The correct linear substitution in a \(q\)-integral is \[ \int_{0}^{x}f(t,q)\,d_{q}(t)=a \int_{0}^{\frac{x}{a}}f(at,q)\,d_{q}(t), a\in{\mathbb{R}}. \] A \(q\)-error function is defined as an infinite \(q\)-integral, but the convergence is not proved. A similar treatment can be found by \textit{F. H. Jackson} [Quart. J. 41, 193--203 (1910; JFM 41.0317.04)]. In section 4 a Laplace \(q\)-integral is introduced and in section 5 a Fourier \(q\)-integral. Another try for Laplace \(q\)-integral has been made by \textit{W. Hahn} [loc. cit.]. Several Indian papers have treated the same theme as a result of Hahn's sejourn in India 1959--1961.