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Mathematics
Mathematics
Problem
Evaluate
∫
0
1
arctan
(
2
x
)
d
x
\displaystyle\int_{0}^{1}\arctan(2x)\,dx
∫
0
1
arctan
(
2
x
)
d
x
. a)
arctan
2
−
1
2
ln
5
\arctan 2\; -\; \dfrac{1}{2}\ln 5
arctan
2
−
2
1
ln
5
b)
arctan
2
−
1
4
ln
5
\arctan 2\; -\; \dfrac{1}{4}\ln 5
arctan
2
−
4
1
ln
5
c)
arctan
2
+
1
4
ln
5
\arctan 2\; +\; \dfrac{1}{4}\ln 5
arctan
2
+
4
1
ln
5
d)
arctan
2
−
1
8
ln
5
\arctan 2\; -\; \dfrac{1}{8}\ln 5
arctan
2
−
8
1
ln
5
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