AI Math SolverAn integral accumulates a quantity over an interval — geometrically, the signed area under a curve. Learn the concept, notation, and how integrals reverse derivatives.
Solve it with the AI Math SolverWhere a derivative splits a quantity into instantaneous rates, an integral stitches rates back into a total. Area under a velocity curve, for example, gives distance traveled.
The fundamental theorem links the two operations: integrating a derivative recovers the original function (up to a constant), which is why integration is also called antidifferentiation.
An integral measures accumulated quantity — the signed area between a curve and the x-axis over an interval. It reverses differentiation.
They are inverses: differentiating the integral of a function returns the original function (up to a constant). This is the fundamental theorem of calculus.