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Joint Entrance Examination
Mathematics
Area Under Curves
Question 123
Question 123 of 230
Medium
MCQ
The area (in sq. units) of the region bounded by the parabola
y
=
x
2
+
2
y=x^2+2
y
=
x
2
+
2
and the lines
y
=
x
+
1
y=x+1
y
=
x
+
1
,
x
=
0
x=0
x
=
0
,
x
=
3
x=3
x
=
3
is:
A
15
4
\dfrac{15}{4}
4
15
B
21
2
\dfrac{21}{2}
2
21
C
17
4
\dfrac{17}{4}
4
17
D
15
2
\dfrac{15}{2}
2
15
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Official solution
Required area \[ = \int\limits_0^3 {\left( {{x^2} + 2} \right)dx - {1 \over 2}.5.3 = 9 + 6 - {{15} \over 2}} {}\] \[ = {{15} \over 2}\]
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