When you integrate, why do you need to add a +C on the end?

Integration can be used to undo differentiation. So if you had an equation that was y=5x+2 and differentiated to get dy/dx=5. When you integrate it you would only get y=5x, so the +2 is lost, to make sure you take this number into consideration you should always put a +C on the end of the equation. This means that it would be y=5x+C. 

KM

Related Maths A Level answers

All answers ▸

Use the substitution u=3+(x+4)^1/2 to find the integral of 1/(3+(x+4)^1/2) dx between 0 and 5.


Prove that the square of an odd integer is odd.


You are given that n is a positive integer. By expressing (x^2n)-1 as a product of factors, prove that (2^2n)-1 is divisible by 3.


Find the co ordinates and nature of the turning points of the curve C withe equation, y=2x^3-5x^2-4x+2