Use the area of triangles to represent the integral

Use the area of triangles to represent the integral

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate an integral using the area under a graph. It begins by analyzing a line graph, identifying its intercepts, and then visualizing the integral as a net area. The tutorial emphasizes using geometric shapes, such as triangles and rectangles, to calculate the area. The process involves understanding the signs of the areas and performing calculations to find the net result. The tutorial concludes with a final area calculation, ensuring a comprehensive understanding of the integral evaluation process.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the Y intercept of the line discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine where the graph crosses the X axis?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are taken to geometrically figure out the area under the curve?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for calculating the area of a triangle mentioned in the text?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the net area calculated in the evaluation of the integral?

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