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Mathematics
Mathematics
Problem
Let
I
(
x
)
=
∫
d
x
(
x
−
11
)
11
13
(
x
+
15
)
15
13
I(x) = \int \frac{dx}{(x-11)^{\frac{11}{13}}(x+15)^{\frac{15}{13}}}
I
(
x
)
=
∫
(
x
−
11
)
13
11
(
x
+
15
)
13
15
d
x
. If
I
(
37
)
−
I
(
24
)
=
1
4
(
1
b
1
13
−
1
c
1
13
)
I(37) - I(24) = \frac{1}{4} \left( \frac{1}{b^{\frac{1}{13}}} - \frac{1}{c^{\frac{1}{13}}} \right)
I
(
37
)
−
I
(
24
)
=
4
1
(
b
13
1
1
−
c
13
1
1
)
,
b
,
c
∈
N
b, c \in \mathbb{N}
b
,
c
∈
N
, then
3
(
b
+
c
)
3(b+c)
3
(
b
+
c
)
is equal to A 22 B 39 C 40 D 26
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