Why is ꭍ2x=x^2+C?

Differentiating x2 gives dx2/dx=2x. Differentiating a constant C gives 0. d( x2 +C)/dx=dx2/dx+dC/dx=2x+0=2x. Since integration is the inverse function of differentiation, integrating 2x gives x2+C.

LD
Answered by Larisa D. Maths tutor

6150 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the area bounded by the curve x^3-3x^2+2x and the x-axis between x=0 and x=1.


The gradient of a curve is defined as Dy/dx = 3x^2 + 3x and it passes through the point (0,0), what is the equation of the curve


How would you integrate ln x


given y=(1+x)^2, find dy/dx


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning