Riemann Sum

Approximate area with left, right, midpoint, or trapezoid rectangles

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

∫ (x^2) dx on [0, 2], n = 8, Left endpoints
Approximation
2.1875
Actual integral (approx.)
2.6666666667
Absolute error
0.4791666667
Subinterval width Δx
0.25
Method
Left endpoints
Riemann SumRiemann sum rectangles approximating the area under f(x) = x^2. Left endpoints, n = 8.x02