Si Function: Definite Integral of sin(x)/x
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This example demonstrates the graph of the Si function (sine integral function) and its definite integral calculation. Key math concepts include definite integral, trigonometric functions, limits, and calculus. The construction uses GeoGebra's Integral command to compute the definite integral of f(x)=sin(x)/x over the interval [t, t], displaying the integral area F_t and the function graph. Suitable for high school and above students to learn about the application of definite integrals and properties of the Si function.
GeoGebra Commands & Parameters
Integral(f, 0, t) → Area
AI Drawing Prompt Reference
Graph the function of sine divided by its variable, and display its definite integral over the interval [t, t], showing the Si function graph and the integral area F_t to demonstrate the properties of the Si function and the application of definite integrals.
The prompt above was compiled from the original drawing commands and is for reference only.