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Mathematics
Mathematics
Problem
Find the value of
∫
4
x
2
+
4
d
x
\displaystyle \int \frac{4}{x^{2}+4}\,dx
∫
x
2
+
4
4
d
x
. a)
4
tan
−
1
(
2
x
)
+
C
4\tan^{-1}(2x)+C
4
tan
−
1
(
2
x
)
+
C
b)
ln
∣
x
2
+
4
∣
+
C
\ln|x^{2}+4|+C
ln
∣
x
2
+
4∣
+
C
c)
2
tan
−
1
(
x
2
)
+
C
2\tan^{-1}\left(\dfrac{x}{2}\right)+C
2
tan
−
1
(
2
x
)
+
C
d)
1
2
tan
−
1
(
x
2
)
+
C
\dfrac{1}{2}\tan^{-1}\left(\dfrac{x}{2}\right)+C
2
1
tan
−
1
(
2
x
)
+
C
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