find the area between y=x and y=-x(x-4)
Answers
Answered by
1
Step-by-step explanation:
The sketch reveals that the function
x
=
4
−
y
2
is to the right.
A
=
∫
2
−
3
[
(
4
−
y
2
)
−
(
y
−
2
)
]
d
y
=
∫
2
−
3
(
6
−
y
2
−
y
)
d
y
A
=
6
y
−
1
3
y
3
−
1
2
y
2
∣
∣
∣
2
−
3
A
=
12
−
8
3
−
2
−
(
18
+
9
−
9
2
)
=
10
−
8
3
+
9
+
9
2
A
=
19
−
8
3
+
9
2
=
114
6
−
16
6
+
27
6
A
=
125
6
≈
20.833
units
2
Answered by
0
Answer:
The sketch reveals that the function
x
=
4
−
y
2
is to the right.
A
=
∫
2
−
3
[
(
4
−
y
2
)
−
(
y
−
2
)
]
d
y
=
∫
2
−
3
(
6
−
y
2
−
y
)
d
y
A
=
6
y
−
1
3
y
3
−
1
2
y
2
∣
∣
∣
2
−
3
A
=
12
−
8
3
−
2
−
(
18
+
9
−
9
2
)
=
10
−
8
3
+
9
+
9
2
A
=
19
−
8
3
+
9
2
=
114
6
−
16
6
+
27
6
A
=
125
6
≈
20.833
units
2
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