Call Now to Set Up Tutoring:

(888) 888-0446

Create an account to track your scores
and create your own practice tests:

Create an Account Create a Practice Test

All Calculus AB Resources

45 Practice Tests Question of the Day Flashcards Learn by Concept

Want to review Calculus AB but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different Calculus AB flashcards! Our Calculus AB flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous Calculus AB flashcards.

Flashcards: Find the Area Between Curves

Determine the area of the region bounded by y=x^2+1 and y=sin(x) , with $0\leq x\leq 1$ . Round to the nearest hundredth.

-0.21

2.87

1.17

0.87

Report an Error Copyright Notice

Flashcards: Find the Area Between Curves

Determine the area of the region bounded by y=x^2+1 and y=sin(x) , with $0\leq x\leq 1$ . Round to the nearest hundredth.

Your answer:

-0.21

Your answer:

2.87

Your answer:

1.17

Correct answer:

0.87

Explanation:

In this particular problem, the bounds for our integral are provided; specifically, we know that the integral setup should look something like $\int _0^1(upper function)-(lower function) dx$ . This can be determined by the given domain $0\leq x\leq 1$ and the fact that we are dealing with an area problem involving two functions.

The next step is to continue creating the integral that will be used to evaluate the area. By graphing the functions, it can be determined that the function y=x^2+1 takes on larger values of than the other function y=sin(x) , and therefore should be deemed the “upper function.”

Without graphing, this can also be determined because y=sin(x) will take on values between and , while x^2+11 .

The following integral is then created:

$\int_{0}^{1}(x^2+1)-(sin(x)) dx$

Finally, the definite integral is evaluated:

$\int_{0}^{0}(x^2+1)-(sin(x)) dx$ $=[\frac{1}{3}x^3+x+cos(x)] |_0^1=(\frac{1}{3}+1+cos(1))-(0+0+1)=\frac{1}{3}+cos(1)=0.87$

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

View Tutors

Olivia
Certified Tutor

University of St. Andrews, Bachelor, Earth & Environmental Science.

View Tutors

Immanuel
Certified Tutor

University of Houston, Bachelor of Science, Exercise Science.

View Tutors

Stephen
Certified Tutor

Liberty University, Masters in Education, Special Education.

Popular Subjects

LSAT Tutors in Chicago, ACT Tutors in Philadelphia, GRE Tutors in Philadelphia, Biology Tutors in Philadelphia, Statistics Tutors in San Diego, Chemistry Tutors in Los Angeles, Reading Tutors in Miami, SSAT Tutors in Philadelphia, MCAT Tutors in Washington DC, GMAT Tutors in Phoenix

Popular Courses & Classes

LSAT Courses & Classes in Miami, SAT Courses & Classes in Phoenix, ACT Courses & Classes in Denver, ACT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Miami, MCAT Courses & Classes in Phoenix, LSAT Courses & Classes in Houston, LSAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Chicago, SSAT Courses & Classes in Washington DC

Popular Test Prep

SAT Test Prep in Seattle, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Dallas Fort Worth, LSAT Test Prep in Houston, ISEE Test Prep in Atlanta, LSAT Test Prep in Atlanta, LSAT Test Prep in Los Angeles, GMAT Test Prep in Washington DC, GRE Test Prep in Chicago, GRE Test Prep in Phoenix

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores
and create your own practice tests:

All Calculus AB Resources

Flashcards: Find the Area Between Curves

Flashcards: Find the Area Between Curves

Flashcards: Find the Area Between Curves

Flashcards: Find the Area Between Curves

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback:

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores and create your own practice tests:

All Calculus AB Resources

Flashcards: Find the Area Between Curves

Flashcards: Find the Area Between Curves

Flashcards: Find the Area Between Curves

Flashcards: Find the Area Between Curves

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Create an account to track your scores
and create your own practice tests: