A derivative of a graph at a certain point will give you its slope at that point. An integral will give you the area under the curve from point a to point b. Both use the concepts of limits, which are just what they sound like. Find the slope between to points on the graph and then move the points closer togetger until the distance between them is effectively 0 - you get a derivative. Use the height of the graph at a point and make a rectangle with that height and a width of 1. Do that for every part of the area you want to measure, and add them all up. Then make rectangles at every 0.5, 0.1, 0.05, etc until you get to rectangles with 0 width. Add them all up and you get the integral. Hope this works as an ELI5
Junius_Bonney31 karma
A derivative of a graph at a certain point will give you its slope at that point. An integral will give you the area under the curve from point a to point b. Both use the concepts of limits, which are just what they sound like. Find the slope between to points on the graph and then move the points closer togetger until the distance between them is effectively 0 - you get a derivative. Use the height of the graph at a point and make a rectangle with that height and a width of 1. Do that for every part of the area you want to measure, and add them all up. Then make rectangles at every 0.5, 0.1, 0.05, etc until you get to rectangles with 0 width. Add them all up and you get the integral. Hope this works as an ELI5
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