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Mathematics
Mathematics
Problem
If
I
n
=
∫
0
π
/
4
tan
n
x
d
x
I_n = \int_{0}^{\pi/4} \tan^n x dx
I
n
=
∫
0
π
/4
tan
n
x
d
x
, where
n
n
n
is a positive integer, then
I
10
+
I
8
I_{10} + I_8
I
10
+
I
8
is (a)
1
9
\frac{1}{9}
9
1
(b)
1
8
\frac{1}{8}
8
1
(c)
1
7
\frac{1}{7}
7
1
(d) 9 (2011)
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