Definite integral as the limit of a Riemann sum | AP Calculus AB | Khan Academy

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Introduction to integral calculus | Accumulation and Riemann sums | AP Calculus AB | Khan Academy

The exponential function eˣ is one of the most fundamental and fascinating functions in mathematics, known for its unique property of being its own derivative. This function plays a central role in many areas of mathematics and science. If one considers the integral of eˣ, one finds that it is also eˣ, which makes this function particularly elegant. This property leads to numerous applications, particularly in the solution of differential equations and in the modeling of exponential growth. Anot

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