Calculus

Fundamental Theorem of Calculus

Connects definite integrals with antiderivatives.

∫ₐᵇ f(x)dx = F(b)−F(a)

Variables

F
antiderivative of f
a,b
bounds

How to use this formula

Identify the known values, keep units consistent, substitute the values into the formula, and calculate carefully. Then check whether the result is reasonable for the original problem.