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Calculating Bounded Area: Curve and Line Integration

Learn how to find the area bounded by a curve and a line using integration in dx form. Discover how to determine intersecting points to define the integration interval and calculate the shaded region's area.

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Calculating Bounded Area: Curve and Line Integration

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  1. Aim: How do we find the area bounded by curve and line (dx form)? Do Now: = 1

  2. Find the area bounded by , y = 1, y = 1

  3. Find the area between and Need to find the intersecting points to determine the interval of x to integrate

  4. What is the area bounded by and The intersecting points are -3 and 3

  5. Find the area between The intersecting points are -2 and 2 y = -8 =

  6. What is the area of the shaded region? y = 1

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