Question

How would I determine an integral function using a graph?

Answer 1

This question in particular:

Answer 2

the definite integral of a function between two numbers, is the area under the graph of the function between the two numbers. Ie, in your question, the definite integral you need to find is the area of the graph under f(x) between the points x= 0 and x = 28. Because your graph is essentially composed of straight lines, you can manually find the area by breaking it up into rectangles and triangles and sum the two areas together. Note, the larger (area 1) is a positive "area" (above the x axis) whereas the smaller area (area 2) is a "negative" area (under the x-axis) so when you go to "sum" them together do area 1 + (- area 2)

Answer 3

Hope that makes sense :)

Answer 4

Oh, I think I get it! So just quickly looking at the graph, would the answer just be 18 then? :P @FireKat97

Answer 5

Actually @Clarence I meant something like this...

Answer 6

Oh right, so it'd be 32 then :p

Answer 7

So for area 1, it'd be 7x3+1/2(12x3) and area 2 as 5+2 right? @FireKat97

Answer 8

Yup, thats the basic idea. but using fractions will add accuracy :)