Why do I need to add the + C when finding an indefinite integral?

When you differenciate a function, the constant term turns to 0. So a lot of different functions like x2 + 7 and x2 - 3 will have the same derivative, this means that going from the derivative to the original function we can only get the non constant terms right and therefore we must add a + C. If the integral is definite then we don't need the + C because by evaluating the difference when plugging the limits, we get F(top limit) + C - (F(bottom limit) + C) = F(top) - F(bottom) where F(x) is the integrated function.

Related Maths A Level answers

All answers ▸

differentiate (1+2x^2)^(1/2)


How do you solve the integral of ln(x)


Find the gradient of the curve (x^3)-4(y^2)=12xy at the point P(-8,8)


Solve D/dx (ln ( 1/cos(x) + tan (x) )


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