How to find the integral with only a graph given

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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.