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Mathematics
Mathematics
Problem
If
I
=
∫
1
2
x
3
−
3
x
2
ln
(
x
−
1
)
d
x
I = \int_{1}^{2} \frac{x^3 - 3x^2}{\ln(x-1)} dx
I
=
∫
1
2
l
n
(
x
−
1
)
x
3
−
3
x
2
d
x
and
J
=
∫
2
3
(
3
x
−
5
)
ln
(
x
−
2
)
d
x
J = \int_{2}^{3} \frac{(3x-5)}{\ln(x-2)} dx
J
=
∫
2
3
l
n
(
x
−
2
)
(
3
x
−
5
)
d
x
, then
e
I
+
J
e^{I+J}
e
I
+
J
equals ............ (A) 2 (B) 3 (C) 4 (D) 5
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