I’m in CalcII now and for the life of me cannot wrap my head around integrals. Now we are using things like u-Substitution methods and solving the areas between 2 curves. I can understand how the equations work, but not why because I still cannot picture what an integral is or why it’s important.
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The integral is the total amount of whatever you’re plotting. If you have a plot showing how fast a car is going over time, the integral of that plot will tell you how far the car went.
This is because it’s the area under the curve – you multiply the axes. In this case, it would be miles/hour on the Y axis and hours on the x axis. When you multiply you just get miles!
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