The Definite Integral Calculator evaluates integrals between specified upper and lower bounds. It uses numerical integration methods (Simpson's rule) to compute accurate results for a wide range of functions.
Enter your function, variable, lower bound, and upper bound to calculate the definite integral. The result represents the signed area under the curve between the specified limits.
Your calculations will appear here
A definite integral computes the signed area between a function and the x-axis over a given interval [a, b]. Areas above the x-axis are positive and areas below are negative.
Simpson's rule is a numerical integration method that approximates the function using parabolic segments. It is significantly more accurate than the trapezoidal rule for smooth functions.
Aufgabe: Evaluate the integral of x^2 from 0 to 3
Loesung: Antiderivative: x^3/3. F(3) - F(0) = 27/3 - 0
Antwort: 9
Aufgabe: Evaluate the integral of sin(x) from 0 to pi
Loesung: Antiderivative: -cos(x). -cos(pi) - (-cos(0)) = 1 + 1
Antwort: 2
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