Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

If $ f(1) = 12 $, $ f' $ is continuous, and $ \displaystyle \int^4_1 f'(x) \, dx = 17 $, what is the value of $ f(4) $?

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

00:42

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Integration

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Boston College

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

00:38

If $f(1)=12, f^{\prime}$ i…

01:50

$$ \begin{array}{l}{\text …

02:20

0:00

Suppose that $ f(1) = 2 $,…

03:22

Suppose that $f(1)=2, f(4)…

01:27

$\begin{array}{l}{\text { …

okay. Given the fundamental theory cockles part to Rio the integral from A to B f of x d. X is off of Beamers off of Ed. Therefore, given the integral from 1 to 4 after prime of Axe DX, we know this is a government 17 which means that before come on, it's off of one is also equipment 17. We know everyone is actually 12 so let's not plug in what we know. This means that half of four is 17 post 12 so after four is 29.

View More Answers From This Book

Find Another Textbook

00:41

29 of the 42 athletes who participated inthe parkrun were female. Determinet…

00:34

The population of a city is 218720.The population has been increasing at the…

03:54

Last year, a property manager bought seven identical snow shovels and nine i…

00:43

The high temperatures in Montana are recorded for a week.High Temperatur…

04:09

Tyra solved the quadratic equation x2-10x -24 = 0by factoring. Her work is s…

00:54

PLZZZ HELP! In 2002 Johan bought a collector car as an investment when i…

00:46

Which scenario would most likely show a negative association between the var…

01:23

write the equation of the line represented by y = 2/3x - 5 in standard form.…

01:20

There are 96 children in a room. 40 of them are girls. Find the fr…

01:10

The price of a toy usually costing £50 is increased to £65Work out the perce…