Search results
The antiderivative of a function f is a function with a derivative f. Why are we interested in antiderivatives? The need for antiderivatives arises in many situations, and we look at various examples throughout the remainder of the text. Here we examine one specific example that involves rectilinear motion.
- 4.4 The Mean Value Theorem
For the following exercises, use a calculator to graph the...
- 4.2 Linear Approximations and Differentials
Analysis. Using a calculator, the value of 9.1 9.1 to four...
- 4.7 Applied Optimization Problems
Problem-Solving Strategy: Solving Optimization Problems....
- Ch. 4 Review Exercises
Ch. 4 Review Exercises - 4.10 Antiderivatives - Calculus...
- Key Equations
Key Equations - 4.10 Antiderivatives - Calculus Volume 1 |...
- Key Concepts
1.1 Review of Functions. A function is a mapping from a set...
- Key Terms
This free textbook is an OpenStax resource written to...
- Chapter 4
This free textbook is an OpenStax resource written to...
- 4.4 The Mean Value Theorem
Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.
Write the exponential function that relates the total population as a function of t. t. Use a. to determine the rate at which the population is increasing in t t years. Use b. to determine the rate at which the population is increasing in 10 years.
Learning Objectives. Find the general antiderivative of a given function. Explain the terms and notation used for an indefinite integral. State the power rule for integrals. Use antidifferentiation to solve simple initial-value problems.
Learning Objectives. Find the general antiderivative of a given function. Explain the terms and notation used for an indefinite integral. State the power rule for integrals. Use antidifferentiation to solve simple initial-value problems.
The collection of all functions of the form \(x^2+C,\) where \(C\) is any real number, is known as the family of antiderivatives of \(2x\). Figure \(\PageIndex{1}\) shows a graph of this family of antiderivatives.
antiderivative calculator. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….
