Trapezoidal Rule Calculator

Numerically integrate f(x) = ax² + bx + c using the trapezoidal rule and compare with the exact result.

f(x) = ax² + bx + c

Lower Limit (a)

Upper Limit (b)

Intervals (n)

Trapezoidal Approximation

Exact Integral

Absolute Error

Relative Error

Step Size (h)

Number of Points

Trapezoidal Rule

∫ f(x)dx ≈ (h/2) [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(x_n-1) + f(x_n)]

where h = (b - a) / n

Root finder.

Linear interpolation.

Advanced math.

Geometric areas.

Mean, median, mode.

Linear regression.