The inverse process of derivatives is called anti–derivatives or integration.
“A function being given and it is required to find a second function whose derivative with respect to x is, that is,
The function , then is called the anti-derivate or indefinite integral of .
Symbol of Integration:
The function is called the integrand and the symbol is called the integral sign.
Thus, means that is 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.
In , where ‘c’ is called the constant of integration.
and are inverse operations of each other.