In integration, what does the +c mean and why does it disappear if you have limits?

When you differentiate, the constant disappears, because it is not dependent of the variable. So when you integrate, you have to add the constant again. However, you can't know the vaulue of c without being further information.
When you integrate with limits, for example x^2+x with the limits of 1 and 4. Integration: 1/3x^3+0,5x^2 + c. 
with limits: 1/3(4)^3 + 0,5(4)^2 + c - 1/3(1)^3 + 0,5(1)^2 + c --> c-c --> the c disappears.

Susanne K. GCSE French tutor, GCSE Maths tutor

2 years ago

Answered by Susanne, a GCSE Maths tutor with MyTutor

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


£24 /hr

Karolina K.

Degree: Dentistry (Bachelors) - Kings, London University

Subjects offered:Maths, Science+ 5 more

-Personal Statements-
-Medical School Preparation-

“Hi, my name is Karolina and I am a Dentistry Student from King's College London.  I understand that many students find certain aspects of the A-level syllabus challenging and having recently completed mine I believe that I know how to...”

PremiumLaura A. IB Economics tutor, GCSE Spanish tutor, IB Spanish tutor, GC...
£20 /hr

Laura A.

Degree: Modern languages with business management (Bachelors) - Birmingham University

Subjects offered:Maths, Spanish+ 2 more


“Hi! My name's Laura - feel free to have a look and get in touch I'd love to help!”

£36 /hr

Adam B.

Degree: Economics and Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics + 1 more

Further Mathematics

“Hi!  I'm an enthuthiastic and motivated tutor with a commitment to developing my student's understanding of concepts within their chosen subjects.  As an Economics and Mathematics undergraduate I am committed to delivering a tailored...”

About the author

Susanne K.

Currently unavailable: for regular students

Degree: Philosophy, Politics and Economics (Bachelors) - Durham University

Subjects offered:Maths, French


“About me: My name is Susanne Karbe, I am from Gemrany, and I am currently studying PPE (Philosophy, Politics and Economics) at Durham University. In school Math and French were two of my favorite subjects. I lived in Paris for 5 years...”

MyTutor guarantee

You may also like...

Posts by Susanne

In integration, what does the +c mean and why does it disappear if you have limits?

What are simultaneous equations and how do I solve them?

When should I use the subjonctif?

Other GCSE Maths questions

Solve equations 2x+y=9 and x+2y=6 to find x and y.

3x^2 + 7x - 13 = 0. What is x?

Expand (2x-3)(4x+4) using the FOIL method.

Find the value of X and Y if X^2 + Y^2 = 13 and 2X + Y = 1

View GCSE 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