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f(x)=a*x^2 b fp=derivative(f)

works and produces

x|->2ax

as it shlould. But

af=integral(f)

does not work. It requires

af(x)=integral(f,x)

This feels inconsistent. Why does it work this way?

.

f(x)=a*x^2 b 
fp=derivative(f) 
fp=derivative(f)

works and produces

x|->2ax

as it shlould. But

af=integral(f)

does not work. It requires

af(x)=integral(f,x)

This feels inconsistent. Why does it work this way?