Fundamental theorem of calculus

Calculus · Formula · Not yet linked from a lesson

∫abf′(x) dx=f(b)−f(a)\int_a^b f'(x)\, dx = f(b) - f(a)

Differentiation and integration undo each other: accumulating a rate of change over an interval gives you the net change. It is what makes integrals computable at all rather than merely definable.

Symbols

f′f'
The rate of change being accumulated.
aa
The lower limit of the interval.
bb
The upper limit.
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