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Asked Nov 27, 2019
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3
Find the area of the region between the curves y = X and y
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3 Find the area of the region between the curves y = X and y

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Expert Answer

Step 1

Given:

The curves are y x..1)and y x(2)
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The curves are y x..1)and y x(2)

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Step 2

Calculation:

The formula to find the area between two curves is
Area -d...(3)
y2
a
First, we have to find the boundary points of the integral
Equating equation (1) and (2), we get
x-x0
help_outline

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The formula to find the area between two curves is Area -d...(3) y2 a First, we have to find the boundary points of the integral Equating equation (1) and (2), we get x-x0

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Step 3
Take both sides of the equation to the power of 3, we get
(x)-(
x(-)=0
x2-10
x =tvi
The intervals are [-1,0] and [0,1].
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Take both sides of the equation to the power of 3, we get (x)-( x(-)=0 x2-10 x =tvi The intervals are [-1,0] and [0,1].

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Tagged in

Math

Calculus

Integration