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Integral Sign (∫)

★★☆☆☆Middle School

📖Definition

∫ is the integral sign, derived by Leibniz from an elongated S for 'Sum'.

∈t f(x) dx

Indefinite integral

∈tₐ^b f(x) dx

Definite integral (from a to b)

∬ f(x,y) dA

Double integral

∮_C \vecF · d\vecr

Line integral (closed curve)

예제 1

Find ∫ x² dx.

예제 2

Find ∫₀¹ 2x dx.

Discovered by: Gottfried Wilhelm Leibniz (1675)

Leibniz introduced this symbol while systematizing calculus.

Work, energy calculations

Continuous distributions

Signal processing, control

#적분#미적분#integral#calculus