Integration is an important concept in Mathematics and, together with Differentiation is one of the two main operations in Calculus. Given a Function ƒ of a real variable x and an interval [a, b] of the real line , the Definite Integral is defined informally to be the net signed Area of the region in the xy - plane bounded by the Graph of ƒ, the x-axis, and the vertical lines x = a and x = b .