Anti–Derivatives Integration:
             The inverse process of derivatives called anti–derivatives or integration.
“A functionbeing given and it is required to find a Second function whose derivative with respect to x, is, that is,
                                        
Thus if
                                        
                          (Differential co–efficient form)
Then
                                      
                                  (Integral form)
The function, then, is called the anti derivate or indefinite integral of .
Symbol of Integration:
             The functionis called integrand and the symbol is called the integral sign.
Thus, means thatis to be integrated with respect to (w.r.t) 'x' and is read as “Integral of”. Where dx indicates the variable with respect to which is to be integrated.
Note:

• In, where 'c' is called as the constant of integration.
• andare inverse operations of each other.



(Introduction to Integral Calculus)

Integral Calculus

(Basic Integral Formulas)