Integral Calculator

Definite integral shown as shaded area under the curve

Use x with + − * / ^ and functions like sin, cos, tan, ln, log, sqrt, abs, exp.

∫ (x^2 - 1) dx, [0, 2]
Definite integral
0.6666666667

Net signed area: regions below the x-axis count as negative.

Total area
2

Unsigned area ∫|f(x)| dx, always positive.

Average value of f
0.3333333333

Estimated numerically with Simpson's rule.

Integral CalculatorCurve of f(x) with the region between the curve and the x-axis from a to b shaded; area above the axis is positive, area below is negative. f(x) = x^2 - 1.x02Positive areaNegative area