695 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.

2 years ago

Answered by James, an A Level Maths tutor with MyTutor

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

#### 424 SUBJECT SPECIALISTS

£20 /hr

Degree: Physics and Philosophy (Integrated Masters) - Kings, London University

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
Philosophy and Ethics
-Personal Statements-

“I will teach my tutees to become expert problem solvers so that they can adapt to the requirements of any future examination.”

MyTutor guarantee

|  1 completed tutorial

£22 /hr

Degree: Economics (Bachelors) - Cambridge University

Subjects offered:Maths, Economics+ 2 more

Maths
Economics
-Personal Statements-
-Oxbridge Preparation-

“Economics Graduate from Cambridge, wanting to share my passion for the discipline”

£30 /hr

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Joe, an experienced tutor and a University of Bristol graduate with a first class Degree in Mathematics.”

Currently unavailable: for regular students

Degree: Mathematics (Masters) - Exeter University

Subjects offered:Maths

Maths

“Third Year Mathematics Student and qualified TEFL Tutor, available any time to discuss tuition in either maths or english as a foreign language.”

### 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

How to calculate the inverse of a 2x2 matrix

How do I solve equations like 3sin^2(x) - 2cos(x) = 2

Solve algebraically: 2x - 5y = 11, 3x + 2y = 7

I struggle with integration, and don't understand why we need to do it

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