University:
High School
Course:
High School Economics
Academic year:

2023
Views:

181

Pages:

3
Author:

BugDourorawsy50

Name:_________________________ Per:_____ (Part 1): The Fundamental Theorem of Calculus The Fundamental Theorem of Calculus If a function f is continuous on the closed interval [a, b  ] and F is an antiderivative of f  on the interval [a , b  ], then Guidelines for Using the Fundamental Theorem of Calculus 1) If you can find the antiderivative of f, you can evaluate the definite integral and find the exact area under the curve. 2) When applying the Fundamental Theorem of Calculus, use the notation below: Ex: 3) You DO NOT NEED C (the constant of integration) when using the Fundamental  Theorem of Calculus. Example 1 Evaluate each definite integral. You Try Evaluate each definite integral. Example 2 a) Evaluate each definite integral. Example 2 b) Evaluate each definite integral using area. Example 3 Find the area of the region bounded by the graph of 1 and x = e. You Try Find the area of the region bounded by the graph of lines x = -1 and x = 1. , the x- axis, and the vertical lines x = , the x- axis, and the vertical