Fundamental Theorem of Calculus I

If f is continuous on [a, b] and the function F is defined by:

Integral Function

Then,

F'(x) = f(x)

Examples

Calculate the derivative of the functions:

Function

Change of Variable

derivada

Function Derivative

Function

función

cambio de variable

Derivative Operations

Function Derivative

Function

Change of Variable

Derivative Operations

Function Derivative

Function

Change of Variable

Derivative Operations

Function Derivative

Function

Change of Variable

Derivative Operations

Function Derivative