How to find the integral with only a graph given

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    Graph Integral
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Homework Help Overview

The discussion revolves around estimating the integral of a function represented graphically, with participants exploring how to interpret the graph and calculate areas under the curve.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss evaluating specific points on the graph and estimating values, questioning assumptions about the function's behavior. Some inquire about the geometric interpretation of the integral and the areas represented by shapes like triangles and rectangles.

Discussion Status

The conversation includes various interpretations of how to approach the problem, with some participants suggesting methods for estimating areas and others questioning the accuracy of assumptions made about the graph. Guidance on calculating areas of geometric shapes has been offered.

Contextual Notes

There is an emphasis on the lack of an explicit function equation, which complicates the integration process. Participants are also navigating the challenge of estimating values based solely on the graphical representation.

Sneakatone
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how do you graph an integral?

(a) Evaluate g(x) for x = 0, 4, 8, 12, 16, 20, and 24.(b) Estimate g(28). (Use the midpoint to get the most precise estimate.
since there's no equation give I don't know how to integrate the function.
 

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Why did you think g(4)=4? If you're just guessing, you need to go back and study some more before even attempting the problem.
 
is the a way you can help me find the integral from just the graph?
 
What does this integral represent geometrically?
 
the area , in this case most of them are triangles
 
Do you know how to calculate the area of a triangle?
 
Sneakatone said:
the area , in this case most of them are triangles
What is the area of each small rectangle on the graph ?
 
You can fit analytic functions piecewise to f(t), and then integrate analytically. The variation, for the most part, is linear in the various sections.
 

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