Trapezoidal Rule Calculator

The trapezoidal rule approximates a definite integral by replacing curve sections with trapezoids. Formula: Tₙ = (h/2)[f(x₀)+2Σf(xᵢ)+f(xₙ)], h=(b−a)/n

Definite
Indefinite

with respect to

Upper value

Lower value

Apply the Trapezoidal Rule

The trapezoidal rule approximates a definite integral by replacing curve sections with trapezoids.

Formula: Tₙ = (h/2)[f(x₀)+2Σf(xᵢ)+f(xₙ)], h=(b−a)/n

Check the function, variable and any domain or bounds before calculating. Differentiation and integration results depend on the expression and conditions supplied, so an algebraically valid result still needs to match the original problem.

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

Frequently Asked Questions FAQ

What does Trapezoidal Rule Calculator calculate?

The trapezoidal rule approximates a definite integral by replacing curve sections with trapezoids.

What is the formula for Trapezoidal Rule Calculator?

The formula used by the calculator is: Tₙ = (h/2)[f(x₀)+2Σf(xᵢ)+f(xₙ)], h=(b−a)/n

What inputs does Trapezoidal Rule Calculator need?

Enter the function, lower and upper bounds, and number of subintervals used by the trapezoidal rule.

How can I verify the Trapezoidal Rule Calculator result?

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

How should I round the Trapezoidal Rule Calculator result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

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