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Mathematics
Mathematics
Problem
5. The area bounded by the curve
y
=
x
∣
x
∣
,
x
y=x|x|, x
y
=
x
∣
x
∣
,
x
-axis and the ordinates
x
=
−
1
x=-1
x
=
−
1
and
x
=
1
x=1
x
=
1
is given by (A) 0 (B)
1
3
\frac{1}{3}
3
1
(C)
2
3
\frac{2}{3}
3
2
(D)
4
3
\frac{4}{3}
3
4
[Hint :
y
=
x
2
y=x^{2}
y
=
x
2
if
x
>
0
x>0
x
>
0
and
y
=
−
x
2
y=-x^{2}
y
=
−
x
2
if
x
<
0
x<0
x
<
0
]. (A) 0 (B)
1
3
\frac{1}{3}
3
1
(C)
2
3
\frac{2}{3}
3
2
(D)
4
3
\frac{4}{3}
3
4
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