Question

Graph f(x)=e^-x^{2} and shade the area represented by the improper integral ∫ e^{-x^{2} d x

Answer 1

To graph f(x) = e^-x^2 and shade the area represented by the improper integral, follow these steps.

Step-by-step explanation:

To graph the function f(x) = e-x2 and shade the area represented by the improper integral ∫ e-x2 dx, follow these steps:

1. Plot the graph of f(x) = e-x2 by choosing various x-values and calculating the corresponding y-values.
2. Label the x-axis and y-axis.
3. Find the values of x1 and x2 that represent the limits of integration for the improper integral.
4. Shade the area under the curve between the limits x1 and x2.