Visualize the Area Under a Curve

I need help with a Algebra question. All explanations and answers will be used to help me learn.

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:

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

  • Replace the default equation with LaTeX: fleft(xright)=3x^5-2x^3
  • First set the limits as LaTeX: a=1 and LaTeX: 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.

Find LaTeX: int_1^2left(3x^5-2x^3right)dx and share the steps you used to get it.

Desmos is a great place to check your solution but you must still do the step-by-step work to demonstrate your understanding of how integration is done. Remember, that on exams (and your initial post here) you will have to show your work, not just a screenshot!

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

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