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.
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.
