Answer to Question #270562 in Calculus for Sabbir

Question

Describe geometrical meaning of indefinite integral. Write down

       some properties of indefinite integral.

     

 

Answer 1

Consider the equation ,

$\int f(x)dx=F(x)+C$

It represents a family of curves and different values of C corresponds to different members of this family. This is considered the geometrical meaning of indefinite integral.

Some properties of indefinite integral are;

1. Indefinite integral defines the

of indefinite area.

2. Indefinite integral lays the base for definite integral.

3. These members of the family can be obtained by shifting any one of the curves parallel to itself.