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

1 year ago

Answered by Susanne, a GCSE Maths tutor with MyTutor

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


£22 /hr

Ben C.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Maths, Spanish+ 2 more


“Hi I'm Ben, I'm a maths undergraduate at Warwick University with some previous tutoring experience.”

£20 /hr

Shreya G.

Degree: Biochemistry with molecular medicine (Bachelors) - Nottingham University

Subjects offered:Maths, Biology+ 1 more

-Personal Statements-

“I am a first year undergraduate student at The University Of Nottingham, currently studying Biochemistry with molecular medicine. ”

£24 /hr

Chloe W.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“About Me:I'm Chloe and I'm a 2nd year maths student at Bristol university. I've always enjoyed working with numbers and I hope that I can encourage others to love working with them too!I've tutored both of my siblings through their...”

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

differentiate x^3(1+x)^5 with respect for x

How do you find the nth term formula for a sequence with non-constant difference?

Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)

Calculate the value of 2^(–3) as a fraction in its simplest form.

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