Purchase Solution

Area and integrals

Not what you're looking for?

Ask Custom Question

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?

This is not a lesson about definite integrals, per se, but is an exercise in how to use the math computer program, MAPLE Version 12.

Once I have the definite integral, I will be instructed on how to enter it into the MAPLE program and evaluate the integral using the program.

Purchase this Solution
Solution Summary

The solution shows how to find the area between two functions.

Solution Preview

Hello and thank you for posting your question to Brainmass!
The solution is ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Areas of Bounded Regions

    Area of region bounded using integrals Find the area of the region bounded by: (using integrals) a)F (x) = 6x- x^2 and g(x)= x^2 - 2x Solution: First, we need to graph them and find the points of intersection.

  • Volume of the solid obtained by rotating the region

    Please see the attachment for the integrals. 2. Find the area of the region bounded by the curve y = 3x - x^2 and the x-axis. Include a sketch of the area. 3.

  • Derivatives and Integrals : Area and Volume of Solid

    Solution a) Area = b) Use disk method to compute the volume of the solid, we have c) Use shell method to compute the volume of the solid, we have . Derivatives and integrals and area of a region and volume of a solid are investigated.

  • Integrals

    87604 Integrals Responses Presented 4 A) Evaluate ∫ 6x(2x^2 - 1) dx 2 b) Write down a definite integral that will give the value of the area under the curve y=x^3 cos (1/4 x) between x=pi and x=2pi pi=3.142

  • Improper Integrals surface area problem..

    Please see attached file The expert examines improper integrals for surface area problems. The regions bounded by the surface area are given.

  • Integrals

    The area can be expressed as This shows how to calculate integrals of functions, including trigonometric functions and cubic functions.

  • Definite Integrals and Areas

    184648 Definite Integral and Areas - Evaluate the following integrals and find the area under the curve (See the Attached Questions File) Evaluate the following integrals and find the area under the curve (See the Attached Questions File) The solution

  • Definite Integrals and Area under a Curve

    184644 Evaluate the following integrals. Also find the area under the given curves. (See the Attached Questions File) Evaluate the following integrals. Also find the area under the given curves.

  • Evaluation of Indefinite and Definite Integrals

    The solution gives detailed steps on solving the indefinite and definite integrals. All formula and calculations are shown and explained.

  • Graphing and interpretation of definite integrals.

    51905 Graphing and interpretation of definite integrals. A) Graph , marking x = 1,2,3,4,5 b) Use the graph and the area of interpretation of the definite integral to decide which of the five numbers for n = 1,2,3,4,5 is largest.

View More Related Solutions