Integral representation formulas play a vital part in mathematical analysis. They serve to determine properties of the functions represented, to solve differential equations, even boundary value problems for differential equations or transfer differential equation to integral equations. One of the prominent integral representataion is Cauhy-Pompieu formula which leads to higher order reprsenatations for n-times differentiable functions. This book serves as a platform to carry out a critical survey of the research work by various mathematicians on integral represenataion formulas in Clifford analysis and polydomains.