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

calculus - Why is the area under a curve the integral? - Mathematics Stack Exchange

Where does the notion of area under the curve come while we are doing indefinite integral? - Quora

What is the proof that the integral of a function is always positive? - Quora

Definite integral as the limit of a Riemann sum (article)

Solved Use a definite integral to find the area under the

The statistical definition of 'normal' is the area under the curve

Where can I read the proof that definite integrals allow you to calculate the area under a curve? - Quora

Improper Integrals - Ximera

Calculus: Why does integrating a function give area under its curve?

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

What can we say about a function if we know that the area under the curve between any two values is zero? - Quora

Area Under The Curve - Method, Formula, Solved Examples, FAQs

Answered: (a) Use the definition to find an…