Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Sketch the region enclosed by the curves and find its area.$$x=\sin y, x=0, y=\pi / 4, y=3 \pi / 4$$

$$\sqrt{2}$$

Calculus 1 / AB

Calculus 2 / BC

Chapter 6

APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING

Section 1

Area Between Two Curves

Integrals

Integration

Applications of Integration

Area Between Curves

Volume

Arc Length and Surface Area

Oregon State University

University of Nottingham

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:56

Sketch the region enclosed…

03:20

05:34

06:22

02:13

00:44

0:00

03:36

06:23

Sketch and find the area o…

00:46

eso This problem might look weird because ah, it says x equal. Sign off. Why? So that sign curve is actually don't like up and down. We don't actually need anything past one cycle. Um, because if you're familiar with this one cycle goes to two pi. Um, so, like, right here is pie and, ah, they actually only care from pyre or four, which is, like, right here to right here is, like was powerful or two right here. Three pyro for And I also say they have X equals zero, which is just the y axis. So we're looking at this function, so don't be confused that they flipped it on you. Um, just the horizontal lines are your, um whatever these air cold bounds, um, and then sign of why, Technically, your lower function is zero. But if you write minus zero, that is not gonna change your answer. Um, and we're doing this in terms of why, and from there it's, you know, set up perfectly. Hopefully, you have already seen the anti derivative. A sign is negative co sign, Which makes sense. If if something were to say, What's the derivative of mega co sign they better stay positive sign if that does not make sense, that in this video needs to be a lot longer. And then you put your bounds in there. Um, so what we have is negative. Co sign of three pi over four, minus negative. Some turn turn into plus co sign of just pie before and think about the difference between those. Okay, So if it's just pi over for that's positive route to over two, because it's the X coordinate on the unit circle if it's three pie before it's negative. I didn't leave room to write the Y coordinate, but they're actually the same my cordant there. But that doesn't matter, so it's a negative of negative for 2/2. So it's positive. Retour two plus through two or two. So it is to root 2/2, and these 20 cancel, so the answer is simply route to

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Sketch the region enclosed by the curves and find its area.$$y=\cos …

Sketch the region enclosed by the curves and find its area.$$y=\sec …

Sketch the region enclosed by the given curves and find its area.

$ …

Sketch the region enclosed by the curves and find its area.$$y=x^{3}…

Sketch the region enclosed by the given curves and find its area.$y=\cos…

Sketch the region enclosed by the given curves and calculate its area.

Sketch and find the area of the region determined by the intersections of th…

00:56

Use the results of Exercise 28 above and Exercise 21 inSection 6.4 to sh…

02:40

Sketch the curve and find the total area between the curve and the given int…

02:10

Let $F(x)=\int_{4}^{x} \sqrt{t^{2}+9} d t .$ Find$$\begin{array}{lll…

02:03

A spring whose natural length is $15 \mathrm{cm}$ exerts a force of$45 \…

01:32

Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus.<…

01:53

Let $F(x)=\int_{\sqrt{3}}^{x} \tan ^{-1} t d t .$ Find$$\begin{array…

03:02

Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives.

02:42

Explain why the Fundamental Theorem of Calculus may be applied without modif…

02:27

Use cylindrical shells to find the volume of the solid generated when the re…

02:21

Use the arc length formula from Exercise 26 to find the arc length of the cu…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.