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Mathematics
Mathematics
Problem
Evaluate
∫
−
1
2
d
x
x
2
−
2
x
+
2
\displaystyle\int_{-1}^{2}\frac{dx}{x^{2}-2x+2}
∫
−
1
2
x
2
−
2
x
+
2
d
x
. a)
arctan
2
−
π
4
\arctan 2-\dfrac{\pi}{4}
arctan
2
−
4
π
b)
2
arctan
2
2\arctan 2
2
arctan
2
c)
arctan
2
+
π
4
\arctan 2+\dfrac{\pi}{4}
arctan
2
+
4
π
d)
1
2
(
arctan
2
+
π
4
)
\dfrac{1}{2}\left(\arctan 2+\dfrac{\pi}{4}\right)
2
1
(
arctan
2
+
4
π
)
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