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Mathematics
Problem
∫
0
π
/
4
(
tan
n
x
+
tan
n
−
2
x
)
d
(
x
−
[
x
]
)
\int_{0}^{\pi/4} (\tan^n x + \tan^{n-2} x) d(x - [x])
∫
0
π
/4
(
tan
n
x
+
tan
n
−
2
x
)
d
(
x
−
[
x
])
is: ([.] denotes greatest integer function) (A)
1
n
−
1
\frac{1}{n-1}
n
−
1
1
(B)
1
n
+
2
\frac{1}{n+2}
n
+
2
1
(C)
2
n
−
1
\frac{2}{n-1}
n
−
1
2
(D) None of these
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