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Mathematics
Mathematics
Problem
Evaluate
∫
−
2
0
d
x
2
x
2
+
8
x
+
9
\displaystyle\int_{-2}^{0}\frac{dx}{2x^{2}+8x+9}
∫
−
2
0
2
x
2
+
8
x
+
9
d
x
. a)
2
arctan
(
2
2
)
\sqrt{2}\,\arctan\!\left(2\sqrt{2}\right)
2
arctan
(
2
2
)
b)
1
2
arctan
(
2
2
)
\dfrac{1}{2}\,\arctan\!\left(2\sqrt{2}\right)
2
1
arctan
(
2
2
)
c)
2
2
arctan
(
2
2
)
\dfrac{\sqrt{2}}{2}\,\arctan\!\left(2\sqrt{2}\right)
2
2
arctan
(
2
2
)
d)
2
2
arctan
(
2
2
)
\dfrac{\sqrt{2}}{2}\,\arctan\!\left(\dfrac{2}{\sqrt{2}}\right)
2
2
arctan
(
2
2
)
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