Approximating Area of Region Bounded by y=sin(x) and x=0 to π

In summary, the conversation is about using rectangles to approximate the area of a region bounded by a sine curve and two axes, with the goal of finding the area using integral or Riemann sum. The specific problem is to approximate the area when x ranges from 0 to π, and the answer should be rounded to three decimal places.
  • #1
kings13
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0

Homework Statement






http://www.webassign.net/mapleplots/d/e/f859372171ea15352ef17952ba81cb.gifv


Use the rectangles in each graph to approximate the area of the region bounded by y = sin(x), y = 0, x = 0, and x = π. (Round your answer to three decimal places.)

Homework Equations





The Attempt at a Solution



have no idea please help :(:(:(
 
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  • #2

1. What is the formula for finding the area of a rectangle?

The formula for finding the area of a rectangle is length x width. This means that you multiply the length of the rectangle by its width to get the total area.

2. How do you measure the length and width of a rectangle?

The length and width of a rectangle can be measured using a ruler or tape measure. The length is the longer side of the rectangle, while the width is the shorter side.

3. Can the area of a rectangle be negative?

No, the area of a rectangle cannot be negative. It is a measurement of space and cannot have a negative value.

4. Is the area of a rectangle affected by the units used for measurement?

Yes, the units used for measurement can affect the area of a rectangle. For example, if the length is measured in inches and the width is measured in centimeters, the area will be different than if both measurements were in the same unit.

5. What is the difference between the perimeter and area of a rectangle?

The perimeter is the distance around the outside of a shape, while the area is the measure of the space inside the shape. The perimeter is measured in linear units, while the area is measured in square units.

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