Definite Integral as a Function

This example illustrates the concept of a definite integral as a function. By plotting the definite integral g(t) of function f over the interval [t, a], it demonstrates the relationship between integration and functions. The Integral command is used to compute the definite integral, the If command defines the interval, and the text1 object displays the integral expression. Suitable for high school mathematics education, it helps students understand the geometric meaning and applications of definite integrals.