integration of x^2/(x^2+a^2)(x^2+b^2)
by using partial fraction.
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Answer:
By substituting x
2
=z
(z+a
2
)(z+b
2
)
z
=
z+a
2
A
+
z+b
2
B
We get the values of A and B
By comparing co-efficients we get
A=
a
2
−b
2
a
2
and B=
a
2
−b
2
−b
2
(x
2
+a
2
)(x
2
+b
2
)
x
2
=
(a
2
−b
2
)(x
2
+a
2
)
a
2
−
(a
2
−b
2
)(x
2
+b
2
)
b
2
=
a
2
−b
2
1
[
x
2
+a
2
a
2
−
x
2
+b
2
b
2
]
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