fundamental theorem
[fundamental theorem|fundamental theorem] [fundamental theorem] is a formula for evaluating a definite integral in terms of an antiderivative of its integrand.
Definition
fundamental theorem [fundamental theorem] is a formula for evaluating a definite integral in terms of an antiderivative of its integrand. It establishes the relationship between differentiation and integration, providing a method to compute definite integrals without using Riemann sums.
Mechanism
fundamental theorem The Fundamental Theorem of Calculus links differentiation and integration, enabling the derivation of the natural logarithm's differentiation formula through its properties. This connection allows definite integrals to be evaluated using the theorem, as demonstrated in related exercises.
Effects
fundamental theorem [fundamental theorem] enables the differentiation of natural logarithm through the following formula, as a direct result of its properties in calculus.