5.3 Integration & Anti-derivatives
The Fundamental Theorem of Calculus
Question #4 (Medium): Finding the Derivative of the Function
Notice that the Fundamental Theorem of Calculus Part 1 has ( ) ∫ ( ) , where the integral goes
from a numeric value of to a variable . This means that only one endpoint of the interval is a variable.
Two complex variations to this are:
1) One end containing a more complex function instead a simple : Then use Leibniz notation and
substitute a simpler variable. Apply the Chain Rule in conjunction with the Fundamental
Theorem of Calculus Part 1 to find the derivative of the function.
2) Both ends of the integral contain some kind of variable