What is an integral? | MyTutor

MYTUTOR SUBJECT ANSWERS

Answers / Maths / A Level / What is an integral?

636 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

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

336 SUBJECT SPECIALISTS

Zubair M. 13 Plus Maths tutor, IB Maths tutor, A Level Maths tutor, ...

£20 /hr

Degree: Theoretical Physics (Masters) - Leeds University

Subjects offered:Maths, Physics+ 1 more

“Organised Motivated Targeted Studious Focused Adaptable Experienced Proficient Academic”

4.8

8 reviews | 9 completed tutorials

Ellen T. GCSE Maths tutor, 13 Plus Maths tutor, A Level Maths tutor,...

£22 /hr

Degree: Economics (Bachelors) - LSE University

Subjects offered:Maths, Physics+ 2 more

“Hi! I study Economics at LSE. With previous tutoring experience, I am keen to provide genuine advice and create an engaging learning environment. ”

5.0

50 reviews | 56 completed tutorials

Maya B. GCSE Maths tutor, A Level Maths tutor, 13 Plus Maths tutor, ...

£20 /hr

Degree: Mathematics with Physics (Bachelors) - Cambridge University

Subjects offered:Maths, Physics+ 1 more

“My approach is centred on deep understanding, and I constantly engage and encourage students to build both confidence and enthusiasm!”

5.0

3 reviews | 4 completed tutorials

See more A Level Maths tutors

About the author

James B. A Level Maths tutor, GCSE Maths tutor

£26 /hr

Degree: Mathematics (Masters) - Exeter University

Subjects offered:Maths

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

5.0

58 reviews | 170 completed tutorials

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 values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.

The polynomial x^3 - 2*x + a, where x is a constant is denoted by p(x). It is given that x+2 is a factor of p(x). Find a

Differentiate y=(x^2+1)(e^-x)

What are the roots of 3x^2 + 13x + 4 ?

View A Level Maths tutors