SOLUTION: Find the area between the curves for the equations below and round your answer to one decimal place. y = x2 + 4x � 4 and y = x + 3

Question 966190: Find the area between the curves for the equations below and round your answer to one decimal place.
y = x2 + 4x � 4 and y = x + 3

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the area between the curves for the equations below and round your answer to one decimal place.
y = x2 + 4x � 4 and y = x + 3
-------------
Find the 2 intersections
x + 3 = x^2 + 4x - 4

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=37 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.54138126514911, -4.54138126514911. Here's your graph:

x = -4.54138
x = 1.54138
The x values are the limits of integration, the y values are not needed.
--------------
f(x) = x^2 + 3x - 7
INT(x) = --- Ignore the constant of INT
---
Area = INT(1.54139) - INT(-4.54138)
Area =~ 37.5 sq units

RELATED QUESTIONS
Find the area between the curves for the equations below and round your answer to one... (answered by KMST)

Find the area between the curves y = x� and y = x + 12. Round your answer to one... (answered by ikleyn)

Find the area enclosed by the curves y = 6x and y = x2. Please... (answered by Alan3354)

Find the area between the curves. x=-3 x=2 y=4e^4x y=3e^(4x) + 1 (Do... (answered by Fombitz)

A sociologist is interested in the relation between x = number of job changes and y =... (answered by ikleyn)

Find the area between the curves y=x^2 -3x and... (answered by Alan3354,ewatrrr)

To 2 decimal places, what is the area enclosed between the curves with equations y=x^2 (answered by Fombitz)

Determine the point(s) of intersection of {{{y=2(3^x)}}} and {{{y=6(2^x)}}}... (answered by Theo)

The area of a triangle is 50 square inches. Find the length of the side included between... (answered by josgarithmetic)