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

Evaluate the definite integral.

$ \displaystyle \int^1_0 \frac{dx}{(1 + \sqrt{x})^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

03:01

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 5

The Substitution Rule

Integration

Missouri State University

Oregon State University

University of Nottingham

Idaho State University

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.

03:44

Evaluate the definite inte…

01:46

06:23

Evaluate the integral.

05:48

00:55

Evaluate the integral.…

01:48

Evaluate $ \displaystyle \…

05:22

05:16

evaluate the integral.…

0:00

we know that are you is one plus squirt of acts, which means that our two times you must one do you is equivalent to DX, which means the letters of integration are changed from 0 to 1 to one postcard of zero, which is one of the bottom toe one plus court of one, which is two on the top. Okay, now we're gonna be using the power rule to integrate, which means we increase the exponents by one. And then we divide by the new exponents using the fundamental damn of calculus. We can now pull again. We end up with 1/6 is our solution.

View More Answers From This Book

Find Another Textbook

01:27

'I need help with question constructing a line chart for the dataHu…

04:18

'Need help solving this question 1. Supply and Demand Equation for…

04:53

'please explain each step. Include a diagram as well. 🙏🏼 10 A pilot…

03:02

"Please Answer My question as fast as possible..pleaseProblem 03: (…

02:31

'Please answer part A of the question below:Horne ark HelpWork …

02:15

'Must use desmos to solve this.

Activity 2: Two sided Limits

02:12

"A ball is thrown into the air by a baby alien on a planet in the syste…

05:38

'please helpProblem 6.(10 points) The radius of spherical ba Il…

03:17

'The following are the ages of customers/passengers of Nationwide Trave…

01:32

'The boxplots below show the distribution of test scores for two classe…