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Mathematics
Mathematics
Problem
∫
a
b
[
x
]
d
x
+
∫
a
b
[
−
x
]
d
x
\int_{a}^{b} [x] dx + \int_{a}^{b} [-x] dx
∫
a
b
[
x
]
d
x
+
∫
a
b
[
−
x
]
d
x
where
[
⋅
]
[\,\cdot\,]
[
⋅
]
denotes greatest integer function is equal to : (A)
a
+
b
a + b
a
+
b
(B)
b
−
a
b - a
b
−
a
(C)
a
−
b
a - b
a
−
b
(D)
a
+
b
2
\frac{a+b}{2}
2
a
+
b
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