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 ▸

Find the first three terms of the binomial expansion of (3 + 6x)^(1/2).


Given that y =2x^3 + 3/(x^2), find a) dy/dx and b) the integral of y


Use the quotient rule to differentiate: ln(3x)/(e^4x) with respect to x.


Given y=2x(x^2-1)^5, show that dy/dx = g(x)(x^2-1)^4 where g(x) is a function to be determined.