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
Which of the integrals $ \displaystyle \int^{0.5}_0 \cos (x^2) \,dx $, $ \displaystyle \int^{0.5}_0 \cos \sqrt{x} \,dx $ is larger? Why?
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
00:52
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 2
The Definite Integral
Integration
Missouri State University
Harvey Mudd College
Baylor University
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.
00:36
Which of the integrals $ \…
00:48
Evaluate the definite inte…
04:02
Evaluate the integrals.
02:50
Evaluate the integrals…
05:18
(a) Show that $ \cos (x^2)…
01:19
Okay, we know that from 0.5, this court of X has to be greater than or equal to x squared. Therefore, we know that because co sign X is decreasing from 0.5, you know that co sign squared of acts has to be less than or equal to co sign of X squared. Therefore, we know that the integral from 0.5 co sign X squared d X has to be very correlates to this.
View More Answers From This Book
Find Another Textbook
02:14
A union spokesperson is trying to encourage a college faculty to join the un…
01:49
01:10
In a group of 10 scores, the largest score is increased by 40 points. What w…
01:24
Suppose X and Y are random variables with μx = 32, σx = 5, μy = 44, and σy =…
03:08
Suppose you toss a fair die three times and it comes up an even number each …
07:24
Suppose that the sick leave taken by the typical worker per year has μ = 10,…
06:02
A random sample of size n = 18 is taken from the distribution with a continu…
01:38
A pharmaceutical company is interested in the association between advertisin…
20:28
To qualify for a police academy, candidates must score in the top 10% on a g…
01:27
Suppose you wish to compare the AP Statistics exam results for the male and …