MYTUTOR SUBJECT ANSWERS

709 views

How can I find the area under the graph of y = f(x) between x = a and x = b?

You can find the area under this graph by evaluating the definite integral of y = f(x) with respect to x between x = a and x = b

Please note: An area below the x-axis has a negative value

Example:

Find the area under the graph of y = x^2 between x = 3 and x = 6

 

Step 1: Integrate x^2 to give 1/3x^3

Step 2: Find the definite integral by substituting in values of x 

Area = 1/3.6^3 - 1/3.3^3 = 72 - 9 = 63

Jonathan R. GCSE Maths tutor, A Level Maths tutor

2 years ago

Answered by Jonathan, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

321 SUBJECT SPECIALISTS

£26 /hr

Ben J.

Degree: Physics and Computer Science (Natural Sciences) (Masters) - Durham University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
Chemistry
-Personal Statements-

“About Me: I'm a Physics and Computer Science student at Durham University, which sounds boring but it's actually really fun.I've got a great knack for making boring things more exciting, which is a good job given my degree title!  I'...”

MyTutor guarantee

£24 /hr

Ayusha A.

Degree: BEng electrical and electronics engineering (Bachelors) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

£20 /hr

Shivani M.

Degree: Medicine (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry+ 4 more

Maths
Chemistry
Biology
.UKCAT.
.BMAT (BioMedical Admissions)
-Medical School Preparation-

“I graduated with 5 A-levels last year and now study medicine at Exeter. I have mentored GCSE maths students for the last 2 years. I would love to hear from you!”

About the author

Jonathan R.

Currently unavailable: until 20/10/2016

Degree: Mechanical Engineering (Bachelors) - Warwick University

Subjects offered:Maths

Maths

“First year engineering student at Warwick. Enthusiastic about Maths and looking to tutor GCSE and A-Level.”

MyTutor guarantee

You may also like...

Other A Level Maths questions

Explain briefly the Normal Distribution

A curve has the equation x^2+2y^2=3x, by differentiating implicitly find dy/dy in terms of x and y.

How do you differentiate parametric equations?

How do you differentiate a function comprised of two functions multiplied together?

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok