So I'm having a peak into integral calculus and to my surprise I find out that in order to find an area beneath a curve, all I have to do is integrate the function between the points that I want the area.

I have tried watching videos and reading up on the fundamental theorem of calculus, but to no avail. I understand why the derivative of a function gives us the slope of the tangent line but I cannot for the life of me understand how the opposite gives us a whole area!

If you found any explanation that really helped you understand this concept or if you are good at explaining it, please share!