04 - PPT - 6.4 Fundamental Theorem of Calculus.pptx - MATH 12 6.4 Part I The Fundamental Theorem of Calculus Given how can we determine Lesson Objective

# 04 - PPT - 6.4 Fundamental Theorem of Calculus.pptx - MATH...

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6.4 Part I The Fundamental Theorem of Calculus Given , how can we determine 10/29/19 MATH 12
Lesson Objective By the end of the lesson, I will be able to… Understand the first and second fundamental theorem of calculus Apply the theorem in computing integrals
The Fundamental Theorem of Calculus In simple terms, this means that differentiation and (definite) integration are inverse operations , in a way similar to multiplication and division.
Ex1. Evaluate the following: a) b) Note: Why do we not have to worry about ‘c’ when we apply this integration?
Ex2. Find the area under the curve over
Basically “deriving the integration of would give us Ex3. Derive the following to demonstrate the second theorem a) b)
Displacement and Total Distance Travelled Ex4. A particle moves along a line. Its velocity at time is a) Find the displacement of the particle during the time period b) Find the total distance travelled for
Lesson Objective By the end of the lesson, I will be able to… Understand the fundamental theorem of calculus Apply the theorem in computing integrals
Suggested Practice Read Ex8. on pg 438 Page 441 #5-21, 27-37, 67-73, 83, 85, 87 (odd #s) Vocabulary: First and second Fundamental Theorem of Calculus,