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^{e^4}_{e} \frac{dx}{x \sqrt{\ln x}} $
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
01:18
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 5
The Substitution Rule
Integration
University of Michigan - Ann Arbor
University of Nottingham
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.
00:43
Evaluate the definite inte…
01:17
01:07
Evaluate the indicated int…
06:36
Evaluate the integral.…
00:51
01:02
Evaluate the integral.
02:26
evaluate the definite inte…
we can consider Are you to be natural of acts, Which means that our d axe is simply axe d'you. Okay, this now means that our limits of integration change. Our bottom limit is gonna be natural. Lot of E, which is simply one in our top limit, is gonna be natural lot of each of the fourth, which is simply for because remember, Ellen, times e just has one. It just cancels out, Okay, Now we're gonna be using the power will, which means we increased the exported by one. And then we divide by the new expert. So from negative 1/2 which is the same thing as one over scored of you, the expensive 1/2 we add one and we end up with positive 1/2 defined by the exponents. Now, using the fundamental dear. My calculus, we can pull again. We end up with two
View More Answers From This Book
Find Another Textbook
02:40
Factor f(x) into linear factors given that k is a zero of flx).f(x) =x4 …
02:28
In triangle ABC, angle A = 82 degrees, angle C = 33 degrees, and side a = 18…