Warm Up Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Warm Up Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

The Fundamental Theorem of Calculus Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. DO NOT “trace”. Use the intersection feature. You are only at an intersect if your calculator says “Intersection”. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

The Fundamental Theorem of Calculus Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

The Fundamental Theorem of Calculus Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

The Fundamental Theorem of Calculus Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Number of rectangles Height Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Number of rectangles Height Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

The Fundamental Theorem of Calculus Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

When you evaluate a definite integral, your answer is a constant. Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Definite integrals have limits. Definite integrals do not require a constant of integration. Use a bracket to indicate that you have integrated, but have yet to plug in your limits (use 2 brackets if multiple terms) When you evaluate a definite integral, your answer is a constant. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

The Fundamental Theorem of Calculus Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

This is a constant. Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. This is a constant. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 4.4 The Fundamental Theorem of Calculus 15.0 Students demonstrate knowledge and proof of the fundamental theorem of calculus and use it to interpret integrals as antiderivatives. 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Make sure to check answers as you work with a graphing utility. Put  next to checked problems. Wednesday, January 16, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals