MYTUTOR SUBJECT ANSWERS

255 views

What is an integral?

An integral is the area that lies below a graphed line and the x-axis, an indefinite integral is when an interval is not used, and so is often infinite, as it covers the entire area under a graph, and not just a small section.

When an interval is used, the integral will usually be finite, e.g.

The integral of x between 0 and 2 is equal to [x2/2]20  which is equal to 22/2-02/2=2

If you think of this as the line y=x, and simply take the line from x=0 to x=2, then you can see that the graph forms a right angled triangle with base and height 2, calculate the area and you can see that it is also equal to 2, as expected.

James B. A Level Maths tutor, GCSE Maths tutor

1 year ago

Answered by James, an A Level Maths tutor with MyTutor

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

184 SUBJECT SPECIALISTS

£20 /hr

Matthew S.

Degree: Economics (Bachelors) - Exeter University

Subjects offered: Maths, History+ 2 more

Maths
History
Extended Project Qualification
Economics

“Who am I? I am a 3rd Year Economics Student at the University of Exeter. Economics has always been at the top of my interests meaning that I have real passion for all things economics and math based which I will aim to instill into my...”

£24 /hr

Osian S.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Osian, a Master's student at the University of Warwick. I've had fun with mathematics from a young age, and I hope to be able to instill this passion for mathematics in you, through my tutorials! Throughout my time at Warwick,...”

£20 /hr

Rhys M.

Degree: Economics (Bachelors) - Durham University

Subjects offered: Maths, History+ 2 more

Maths
History
Geography
Economics

“About Me I am currently studying Economics at Durham University. Economics is a very broad subject, so I am very passionate about many other subjects and do a lot of reading around my subject. I was delighted to be awarded the top spo...”

About the author

£20 /hr

James B.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

Maths

“About MeI'm a second year student at Exeter University. I've been passionate about maths from a young age and have carried that love through my school and uni career. I hope that I can generate the same passion for my tutees as well....”

You may also like...

Posts by James

How do you differentiate X to the power of a?

How to prove that (from i=0 to n)Σi^2= (n/6)(n+1)(2n+1), by induction.

What is "Standard Form"?

What is a complex number?

Other A Level Maths questions

Find the integral between 4 and 1 of x^(3/2)-1 with respect to x

how do integrate an equation with a surd or a fraction?

Integrate (x^3 - x^2 - 5x + 7) with respect to x.

How can I derive an equation to find the sum of an arithmetic sequence?

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