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TMUA 2021 · Paper 1 · Question 13
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The function
f
is such that, for every integer
n
∫
n
n
+
1
f
(
x
)
d
x
=
n
+
1
Evaluate
r
=
1
∑
8
(
∫
0
r
f
(
x
)
d
x
)
---
A
36
B
84
C
120
D
165
E
204
F
288