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Integral for area Bounded by Two Functions

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The problem reads:
1)Plot the following functions on the same coordinate system with the given domain and range.

y = x^4 - 2x^2 and y = 2x^2 -4 <= x <= 4 -2 <= y <= 10

2)I am then to set up the definite integral that gives the area of the region bounded by the graphs of the functions.

I had no trouble plotting these two functions but am having difficulty doing part 2 of the problem.

What is the definite integral that is being requested by this problem?

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Solution Summary

A step by step solution is provided.

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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