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Byju's Answer
Standard XII
Mathematics
Slope Point Form of a Line
Find the area...
Question
Find the area bounded by the
X
-axis the parabola
y
=
−
x
2
+
4
.
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Solution
Given
y
=
−
x
2
+
4
Now
A
=
∫
x
2
x
1
(
−
x
2
+
4
)
d
x
=
∫
2
−
2
(
−
x
2
+
4
)
=
x
3
3
+
4
x
∫
2
−
2
=
−
2
3
3
+
4
(
2
)
−
(
−
(
−
2
)
3
3
+
4
(
−
2
)
)
=
2
3
3
+
8
−
(
2
3
3
−
8
)
A
=
∣
∣
∣
−
2
3
3
+
8
−
2
3
3
+
8
∣
∣
∣
=
∣
∣
∣
16
−
16
3
∣
∣
∣
=
32
3
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Standard XII Mathematics
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