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Byju's Answer
Standard IX
Mathematics
Diagonals of a Rhombus Bisect Each-Other at Right Angles
Using trapezo...
Question
Using trapezoidal method find
∫
3
0
e
x
2
dx with step size h = 0.5
2319.07
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Solution
The correct option is
A
2319.07
Let
So,
x
0
0.5
1
1.5
2
2.5
3
y
1
=
y
0
1.284
=
y
1
2.718
=
y
2
9.488
=
y
3
54.598
=
y
4
518.01
=
y
5
8103.084
=
y
6
Now using trapezoidal method,
∫
3
0
e
x
2
d
x
=
0.5
2
[
(
y
0
+
y
6
)
+
2
(
y
1
+
y
2
+
y
3
+
y
4
+
y
5
)
]
=
0.5
2
[
8104.084
+
2
[
586.098
]
]
=
0.5
2
[
9276.28
]
= 2319.07
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Standard IX Mathematics
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