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.

SK
Answered by Susanne K. Maths tutor

9053 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Please sketch and factorize the quadratic 3x^2+10x+3.


GCSE: I don't understand how to rationalise denominators


A is (2,12) and B is (8,2). What is the midpoint of AB?


Solve the simultaneous equations 4x + 7y = 1 and 3x +10y = 15.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences