Integral
Integration is the reverse operation of derivation.
The Integral of a function is the area under the function's graph.
Indefinite Integral Definition
When
Indefinite Integral Properties
Change of Integration Variable
When and
Integration By Parts
Integrals Table
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Definite Integral Definition
When
Definite Integral Calculation
When ,
and
Definite Integral Properties
when
Change of Integration Variable
When , , ,
Integration By Parts
Mean value theorem
When f(x) is continuous there is a point so
Trapezoidal Approximation of Definite Integral
The Gamma Function
The Gamma function is convergent for x>0.
Gamma Function Properties
G(x+1) = xG(x)
G(n+1) = n! , when nℕ (positive integer).
The Beta Function