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

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

$ \displaystyle h(u) = \int^u_0 \frac{\sqrt{t}}{t + 1} \,dt $

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

00:22

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Integration

Oregon State University

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

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.

0:00

Use Part 1 of the Fundamen…

00:25

03:05

00:44

00:41

00:30

01:10

02:48

using the fundamental theme of calculus. We know we now end up with a TSH prime of you. We make the teas go away and we substitute them, replace them with use, so simply scored a view over you plus one.

View More Answers From This Book

Find Another Textbook

01:24

The sales of a particular brand of children’s athletic shoes rose from $5,00…

00:58

If y = kx, what is the value of k if y = 20 and x = 0.4?

01:28

How do I solve cot x = square root of three over 3?

02:08

Sofia and Tess will each randomly choose one of the 10 integers from 1 to 10…

01:17

A coil of rope was divided into 7 equal sections,each 17.5 meters long T…

01:23

Which equation is equivalent to log4 + log(x + 2) = 1?

02:56

In △XYZ , m∠X=38∘ , m∠Z=67∘ , and YZ=25 feet . What is XZ ? Enter your a…

01:31

a bus runs 9times a day 6days a week the bus can carry 30 people what's…

if 12 men are needed to run 4 machines how many men are needed to run 20 mac…

01:11

Indira has 18 coins valued at $4.20. she has only quarters and dimes. Which …