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Mathematics
Mathematics
Problem
Given
∫
1
5
f
(
x
)
d
x
=
7
\displaystyle \int_{1}^{5} f(x)\,dx = 7
∫
1
5
f
(
x
)
d
x
=
7
and
∫
5
9
f
(
x
)
d
x
=
−
4
\displaystyle \int_{5}^{9} f(x)\,dx = -4
∫
5
9
f
(
x
)
d
x
=
−
4
, determine the constant
B
B
B
such that
∫
1
9
[
f
(
x
)
+
B
]
d
x
=
0
\displaystyle \int_{1}^{9} \bigl[f(x)+B\bigr] \,dx = 0
∫
1
9
[
f
(
x
)
+
B
]
d
x
=
0
.
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