Question
Asked Nov 21, 2019
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Find the area of the region bounded by the graphs of the given equations. Rou nd to 2 decimal
places
6.
f(x) x26x
g(x) =x2
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Find the area of the region bounded by the graphs of the given equations. Rou nd to 2 decimal places 6. f(x) x26x g(x) =x2

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Expert Answer

Step 1

Given,

f(x) x2 -6x and g(x) = -x2
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f(x) x2 -6x and g(x) = -x2

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Step 2

Now,

f(x) — х2 - бх
(о, 0)
5
g(x) — -х^2
-5
--10 (3, -9)
LC
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f(x) — х2 - бх (о, 0) 5 g(x) — -х^2 -5 --10 (3, -9) LC

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Step 3

From the graph we can see that point of intersection are (0,0) and...

3
So, Area
-x2 — (x2 — 6х) dx
3
2x26x dx
2x3
бх2
-
3
- [(-73
6(3)2
6(0)
2(0)3
+
2
= [(-18 27)- (0)]
= 9
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3 So, Area -x2 — (x2 — 6х) dx 3 2x26x dx 2x3 бх2 - 3 - [(-73 6(3)2 6(0) 2(0)3 + 2 = [(-18 27)- (0)] = 9

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Tagged in

Math

Calculus

Integration