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Trapezoidal Rule Calculator

Approximate the definite integral of a function over [a, b] by summing trapezoid areas across n subintervals. Ideal for numerical integration when an antiderivative is difficult or impossible to find analytically.

Lower Limit (a)

Upper Limit (b)

Number of Subintervals

Average Trapezoid Height

Fill in the required fields to see your result.

Calculus

Area Under Curve Calculator

Computes the exact area between a parabola f(x) = ax² + bx + c and the x-axis over an interval [x₁, x₂]. Use it to evaluate definite integrals for quadratic functions in physics, economics, or calculus coursework.

Coefficient of x²

Coefficient of x

Constant Term

Starting x-value

Ending x-value

Fill in the required fields to see your result.

Key differences

	Trapezoidal Rule Calculator	Area Under Curve Calculator
Category	Calculus	Calculus
Inputs required	4	5
Result	Approximate Integral	Area Under Curve (square units)
What it does	Approximate the definite integral of a function over [a, b] by summing trapezoid areas across n subintervals. Ideal for numerical integration when an antiderivative is difficult or impossible to find analytically.	Computes the exact area between a parabola f(x) = ax² + bx + c and the x-axis over an interval [x₁, x₂]. Use it to evaluate definite integrals for quadratic functions in physics, economics, or calculus coursework.