曲线下面积计算器 — 公式

Area Under a Curve

Definite Integral

The area under y = ax^n from x₁ to x₂ is:

Area = integral from x₁ to x₂ of ax^n dx

=(a/(n+1)) × [x₂^(n+1) - x₁^(n+1)]

Average Value

The average value of f on [x₁, x₂] is:

f_avg = (1/(x₂ - x₁)) × integral of f(x) dx