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Line 8:
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→Example 1: added a picture that represents the first example
=== Example 1 ===
=== Example 1 ===
{| class="wikitable" style="float: right"
|-
| colspan="2" align="center"| [[Image:Simpsonsruleat9.png|300px|Click on the image to get a better view.]]
|-
!width="200"|Explanation
!width="100"|Color
|-
|The '''integrand''' (what is being integrated)
|''blue line''
|-
|The '''lower bound'''
|''green line''
|-
|The '''upper bound'''
|''red line''
|-
|The '''parabola''' that we are using to approximate the area
|''purple line''
|-
|The area under both '''f(x)''' ''and'' the '''parabola'''
|''aqua area''
|-
|The ''extra'' area that the '''approximation''' count
|''yellow area''
|-
|The area that the '''approximation''' ''does not count''
|''dark read area''
|-
|}
Given:
Given:
:<math>\int_1^4 (-x^3 + 4x^2-x+1) dx</math>
:<math>\int_1^4 (-x^3 + 4x^2-x+1) dx</math>