IB Mathematics HL

Sandi Yoder, Jan 29, 2015

Illustration of the Fundamental Theorem of Calculus

Table of Contents

  1. Vectors
  2. Integral Calculus
    1. The Fundamental Theorem of Calculus
    2. fundamental theorem of calculus
    3. Riemann Sum
    4. Solids and volumes of revolution (rotation about y_axis)
    5. Volumes of Revolution with Disks/Washers (OLD)

1.

Vectors


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2.

Integral Calculus

  • 1. The Fundamental Theorem of Calculus
  • 2. fundamental theorem of calculus
  • 3. Riemann Sum
  • 4. Solids and volumes of revolution (rotation about y_axis)
  • 5. Volumes of Revolution with Disks/Washers (OLD)

2.1.

The Fundamental Theorem of Calculus

This is an animation to visualize the Fundamental Theorem of Calculus: the fact that the area function is the anti-derivative function in the limit, and that the rate of change of the area function at x=b is f(b).
– Reza Khadem

2.2.

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2.5.

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