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KVPY SX SB Exam 2016 Question Paper
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© examsnet.com
Question : 14
Total: 120
The area of the region bounded by the curve
y
=
|
x
3
−
4
x
2
+
3
x
|
and the x-axis,
0
≤
x
≤
3
, is -
37
6
9
4
37
12
0
Validate
Solution:
A
=
1
∫
0
f
(
x
)
d
x
−
3
∫
1
f
(
x
)
d
x
=
1
∫
0
(
x
3
−
4
x
2
+
3
x
)
d
x
−
3
∫
1
(
x
3
−
4
x
2
+
3
x
)
d
x
=
37
12
© examsnet.com
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