CONCEPTS AND FORMULAE:
* Let ∫ f ( x ) dx = F ( x ) + c, where c is the arbitrary constant of integration. The value of the integral when x = b is F ( b ) + c and when x = a, the value is F ( a ) + c.
* The value of the integral when x = b minus the value of the integral when x = a gives
F ( b ) - F ( a ) which is given as
Thus, = F (b) - F (a)
* is termed as definite integral. ' a ' and ' b ' are called limits of integration,
' a ' being the lower limit and ' b ', the upper limit.
* is a definite constant unlike which is a function of the variable ' x '.
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* where ' c ' is some value of ' x ' between ' a ' and ' b '.
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