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Byju's Answer
Standard XII
Mathematics
Dot Product
Find the area...
Question
Find the area enclosed by
y
=
x
|
x
|
,
y
=
0
,
x
=
1
,
y
=
−
1
Open in App
Solution
y
=
x
2
x
>
0
y
=
−
x
2
x
<
0
⇒
−
∫
0
−
1
√
−
y
+
∫
1
0
x
2
⇒
−
[
(
−
y
)
3
/
2
3
/
2
]
0
−
1
+
[
x
3
3
]
1
0
⇒
−
2
3
[
0
−
1
]
+
3
[
1
−
0
]
=
2
3
+
3
=
11
3
s
q
.
u
n
i
t
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Similar questions
Q.
Find the area enclosed by the curves y = | x − 1 | and y = −| x − 1 | + 1.