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Gives the approximation of a definite integral using the Trapezoidal Rule. Send feedback | Visit Wolfram|Alpha. Get the free "Trapezoidal Rule Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle.
trapezoidal\:\int_{0}^{8}\sin(\sqrt{x})dx,\:n=4 ; trapezoidal\:\int_{0}^{5}\sin(x^{2})dx,\:n=5 ; trapezoidal\:\int_{-1}^{2}\frac{6}{x^{2}+1}dx,\:n=3 ; trapezoidal\:\int_{1}^{2}\sqrt{x^{3}-1}dx,\:n=3 ; Show More
The following is the Trapezoidal Rule formula used by the trapezoid calculator for calculating the definite integral of a function f(x): $$ \int_a^b f(x) \, dx \, ≈ \, T_n \, = \, \frac{Δx}{2} [f(x_0) \, + \, 2f(x_1) \, + \, 2f(x_2) \, + \, ... \, + \, 2f(x_{n-1}) \, + \, f(x_n)]$$
Trapezoidal rule for definite integrals: Enter a function f(x), use the a and b sliders to choose the limits of integration, and use the n slider to increase the number of subintervals.
Use this calculator to estimate integrals quickly and accurately using the trapezoidal rule. Enter your function, upper and lower limits, and number of trapezoids, and get the result with steps and plots.
integration range. |. interval size. Compute. Input interpretation. Result. More digits. Symbolic form of trapezoidal rule. Show details. Plot. Exact integral result. More digits. Error vs. intervals. Relative error. Method comparisons. Asymptotic expansion as the number of intervals goes to infinity. Approximate form. Download Page.
An online trapezoidal rule calculator helps you to estimate the area under the graph of the given function using the trapezoidal rule. The free trapezoid area calculator approximates the integral in multiple subintervals with step-wise calculations.
