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find the area of the curve y 4x3 between the end p
Question:
Find the area of the curve
y
=
4
x
3
between the end points
x
=
[
−
2
,
3
]
MHT CET
Updated On:
Jun 23, 2024
(A) 97
(B) 65
(C) 70
(D) 77
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Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
Explanation:
Let
f
(
x
)
=
y
=
4
x
3
Given the end points are:
x
1
=
−
2
,
x
2
=
3
Therefore, Area of the curve
(
A
)
=
|
∫
−
2
3
4
x
3
dx
|
⇒
A
=
|
∫
−
2
0
4
x
3
d
x
|
+
|
∫
0
3
4
x
3
dx
|
⇒
A
=
|
4
[
x
4
4
]
−
2
0
|
+
|
4
[
x
4
4
]
0
3
|
⇒
A
=
|
[
0
−
2
4
]
|
+
|
[
3
4
−
0
]
|
⇒
A
=
|
−
16
|
+
|
81
|
⇒
A
=
97
Hence, the correct option is (A).
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