What is the proof that an area under a curve is the definite

What is the proof that an area under a curve is the definite integral of that function? - Quora

3D illustration of a definite integral: the area under the graph of the function y=(x) limited by x=a and x=b Stock Photo - Alamy

Why is the definite integral from a to b equal to the area under the curve on the interval [a, b] ? I mean what do the integrals at x=a and at

What is the proof that an area under a curve is the definite integral of that function? - Quora

Solved Use a definite integral to find the area under the

Fundamental theorem of calculus. The 2 main operations of calculus are…, by Martin McBride, Graphic maths, Feb, 2024

Solved Use a definite integral to find the area under the

When evaluating the definite integral of a vector function, what is actually kept constant? - Quora

Find an expression for the area under the curve y=x^(3) from 0 to 2 as limit. Use following formula

Why do you need to get the antiderivative to calculate the area under a curve, and why doesn't the original function work? - Quora