1. AP Calculus AB/BC Area & Volume

2. Area & Volume Larson 6.1, 6.2, 6.3, FDWK 7.2, 7.3 Area Between Two Curves Area Between Intersecting Curves Area With Respect to 𝑦 Volumes of Revolution – Disks Volumes of Revolution – Washers Volumes of Revolution – Cylindrical Shells Solids With Known Cross-Sections

3. Area Between Two Curves

4. Example 1 Sketch the region bounded by the graphs of the algebraic functions 𝑦=sin𝑥 𝑦=𝑥 𝑥=𝜋2 𝑥=𝜋 and find the area of the region.

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6. Example 2 Sketch the region bounded by the graphs of the algebraic functions 𝑦=𝑥2−4𝑥 𝑦=2𝑥 and find the area of the region.

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8. Example 3 Find the area enclosed between the graphs of 𝑦=𝑥4−4𝑥2+4 𝑦=𝑥2

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11. Example 4 Find the volume of the solid formed by revolving the region bounded by the 𝑥-axis, the graph of 𝑓𝑥=12𝑥2 and the line 𝑥=2 about the 𝑥-axis.

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13. Example 5 Find the volume of the solid formed by revolving the region bounded by the graphs of 𝑓𝑥=𝑥2 and 𝑔𝑥=𝑥3 about the 𝑥-axis.

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