At right, the antiderivative function \(F(x) = \frac\) At left, the graph of \(f(x) = x^2\) on the interval \(\) and the area it bounds. Also, use the Fundamental Theorem of the Calculus, together with an antiderivative for the growth.
Using Definite Integrals to Find Volume.Using Definite Integrals to Find Area and Length.Other Options for Finding Algebraic Antiderivatives.The Second Fundamental Theorem of Calculus The Fundamental Theorem of Calculus then tells us that, if we define F (x) to be the area under the graph of f (t) between 0 and x, then the derivative of F (x) is f (x).with bounds) integral, including improper, with steps shown. The calculator will try to evaluate the definite (i.e. Constructing Accurate Graphs of Antiderivatives Definite and Improper Integral Calculator.Determining distance traveled from velocity.Using derivatives to describe families of functions.Using derivatives to identify extreme values.Derivatives of Functions Given Implicitly.Derivatives of other trigonometric functions.Limits, Continuity, and Differentiability.
Interpreting, estimating, and using the derivative.The derivative of a function at a point.