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 …