∫

Definite Integral

★★★★☆Undergraduate

📖Definition

Represents the area between a function and the x-axis, defined as a limit.

∈tₐ^b f(x) dx = lim_n → ∈fty ∑_i=1ⁿ f(xᵢ)Δ x

Defined as limit of Riemann sums

∈tₐ^b f(x) dx = F(b) - F(a)

Fundamental Theorem of Calculus

예제 1★★☆☆☆

Find ∫₀² x² dx.

∈t₀² x² dx = (8)/(3)

예제 2★★☆☆☆

Find ∫₀^π sin x dx.

Area under curves

Displacement, work

#analysis#calculus#integration#fundamental