soumiliray94
soumiliray94
18-06-2024
Math
Answered
Integration of 3x + 1 / (3x²+2x-5)³ dx
Answer :
dakshphogat2009janua
dakshphogat2009janua
18-06-2024
Let,
3
x
2
+
2
x
+
1
=
t
=>
(
6
x
+
2
)
d
x
=
d
t
=>
2
(
3
x
+
1
)
d
x
=
d
t
So, given equation becomes,
=>
∫
d
t
2
t
3
=>
−
1
8
t
4
+
C
=>
−
1
8
(
3
x
2
+
2
x
+
1
)
4
+
C
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