For this discussion, you will work in groups to visualize the area under a curve using the online graphing tool Desmos. You will use the Desmos applet for a definite integral. To get started:

• First, review the Learn Desmos: Integrals video (desmos 1:51) (Links to an external site.) for a few pointers on using Desmos.
• Then, access the Definite Integral tool (Links to an external site.) from the Desmos site as a guest. You don’t need to create an account or sign in to the site.

Use the Definite Integral tool to explore the area under a curve. Complete the following.

• Replace the default equation with f ( x ) = 3x⁵ – 2x³ .
• First set the limits as a = 1 and b = 2 . You may need to zoom in or out to see the graph and the shaded region.
• Then, experiment with a and b both being negative.
• Then, let a be negative and b be positive. Try using the slider and have a and b as decimals.
• Take a screenshot of one of your cases (including the right column of input information and the graph with the shaded region) to post into the discussion.

Post your step-by-step work and a screenshot of one of your cases.