  In this paper, we obtain analytical solution of an unsolved integral
$\textbf{R}_{C}(m,n)$ of Srinivasa Ramanujan [$\textit{Mess. Math}$., XLIV,
75-86, 1915], using hypergeometric approach, Mellin transforms, Infinite
Fourier cosine transforms, Infinite series decomposition identity and some
algebraic properties of Pochhammer's symbol. Also we have given some
generalizations of the Ramanujan's integral $\textbf{R}_{C}(m,n)$ in the form
of integrals $\textbf{I}^{*}_{C}(\upsilon,b,c,\lambda,y), \textbf{J}_C
(\upsilon,b,c,\lambda,y), \textbf{K}_{C} (\upsilon,b,c, \lambda,y),
\textbf{I}_{C}(\upsilon,b,\lambda,y)$ and solved it in terms of ordinary
hypergeometric functions ${}_2 F_3$, with suitable convergence conditions.
Moreover as applications of Ramanujan's integral $\textbf{R}_{C}(m,n)$, the new
nine infinite summation formulas associated with hypergeometric functions
${}_{0}F_{1}$, ${}_{1}F_{2}$ and ${}_{2}F_{3}$ are obtained.
