# Definite integration vs indefinite integration

If definite integration of a plane curve y=f(x) from a to b gives the area bounded by the curve, the x axis and the lines x=a and x=b then what does indefinite integral of f(x) represents. I know that it represents a family of curves but i couldnt graphically build up a connection between these two. Doesn't it represent some sort of area function just like definite integral. What exactly is the basic difference between these two. Plz explain elborately

• Maybe you are confused because they both use the integral sign $\int$. The connection between the two should become apparent once you know the Fundamental Theorem of Calculus. and btw, the definite integral gives the net'' area, not just area. – Isko10986 Nov 20 '16 at 5:35
• The indefinite integral gives a family of functions whose derivative is the integrand. The concepts of indefinite and definite integration are closely linked by the fundamental theorem of calculus. – Kaj Hansen Nov 20 '16 at 5:36