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Mathematics
Mathematics
Problem
Determine
∫
d
x
1
−
9
x
2
\displaystyle\int \frac{dx}{\sqrt{1-9x^{2}}}
∫
1
−
9
x
2
d
x
. a)
sin
−
1
(
3
x
)
+
C
\sin^{-1}(3x)+C
sin
−
1
(
3
x
)
+
C
b)
1
3
cos
−
1
(
3
x
)
+
C
\dfrac{1}{3}\cos^{-1}(3x)+C
3
1
cos
−
1
(
3
x
)
+
C
c)
1
3
sin
−
1
(
3
x
)
+
C
\dfrac{1}{3}\sin^{-1}(3x)+C
3
1
sin
−
1
(
3
x
)
+
C
d)
sin
−
1
(
x
)
+
C
\sin^{-1}(x)+C
sin
−
1
(
x
)
+
C
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