MYTUTOR SUBJECT ANSWERS

381 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

182 SUBJECT SPECIALISTS

£26 /hr

Victor T.

Degree: Economics (Bachelors) - Cambridge University

Subjects offered: Maths, Economics+ 2 more

Maths
Economics
-Personal Statements-
-Oxbridge Preparation-

“Hi I'm Victor and I am a second-year economist at Cambridge having achieved a First last year. I very much enjoy teaching and my aim to instil my passion and enthusiasm for Maths and Economics in my students. I got 12 A*s at GCSE and 5...”

£20 /hr

Edmond W.

Degree: Mathematics (Bachelors) - Birmingham University

Subjects offered: Maths

Maths

“Hi! My name is Ed Wong and I'm a third year Mathematics student at the University of Birmingham. I have a great passion for maths, and would love to tutor anyone who is finding it difficult. I would say I am great at explaining my sol...”

£20 /hr

Saanya A.

Degree: Medicine (Bachelors) - Birmingham University

Subjects offered: Maths, Science

Maths
Science

“Me: I am currently a first year medical student studying at the University of Birmingham. I studied Mathematics, Further Mathematics, Biology and Chemistry at A-level. I have had previous experience at Accelerated Education Tuition wh...”

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

How do I simplify [(x^2 + 4x- 12) / (x^2 - 25) ] / [(x+6) / (x^2-5x)] ?

Where does the geometric series formula come from?

The quadratic equation 2x^2 + 8x + 1 = 0 has roots x1 and x2. Write down the value of x1+x2 and x1*x2 and find the value of x1^2 + x2^2

What is the dot product of two vectors?

View A Level Maths tutors

Cookies:

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

mtw:mercury1:status:ok