DEFINITE
INTEGRATION
,Definition
If is a continuous function in then is called the definite integral of between the li
where is called the lower or inferior limit and is called the upper or superior limit.
Newton-Leibniz Formula
If is continuous in and then .
Theorem If is continuous function and then we have .
,Geometrical Meaning of Definite Integral
The definite integral represents the area bounded by -axis and the lines and i.e. th
the curvilinear trapezoid .
The value of is positive when is for and negative when is for .
, Illustration: Evaluate using graph.
INTEGRATION
,Definition
If is a continuous function in then is called the definite integral of between the li
where is called the lower or inferior limit and is called the upper or superior limit.
Newton-Leibniz Formula
If is continuous in and then .
Theorem If is continuous function and then we have .
,Geometrical Meaning of Definite Integral
The definite integral represents the area bounded by -axis and the lines and i.e. th
the curvilinear trapezoid .
The value of is positive when is for and negative when is for .
, Illustration: Evaluate using graph.
