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Byju's Answer
Standard XII
Physics
Definite Integrals
The area boun...
Question
The area bounded by the curve
y
=
x
2
+
4
, the x-axis and the ordinates
x
=
1
and
x
=
4
is
units.
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Solution
The required area A is entirely above the x-axis, so we can simply evaluate the integral between the required limits.
A
=
∫
4
1
y
d
x
A
=
∫
4
1
(
x
2
+
4
)
d
x
A
=
[
x
3
3
+
4
x
]
4
1
A
=
[
64
3
+
16
]
−
[
1
3
+
4
]
A
=
33
units
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