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 ▸

Is the function f(x)=x^3+24x+3 an increasing or decreasing function?


Use Simpson's rule with 5 ordinates (4 strips) to find an approximation to "integral between 1 and 3 of" 1/sqrt(1+x^3) dx giving your answer to three significant figures.


show that y = (kx^2-1)/(kx^2+1) has exactly one stationary point when k is non-zero.


Differentiate (3x)e^(3x)