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Mathematics
Mathematics
Problem
Evaluate
∫
sec
2
(
5
x
)
tan
(
5
x
)
d
x
\displaystyle \int \frac{\sec^{2}(5x)}{\sqrt{\tan(5x)}}\,dx
∫
tan
(
5
x
)
sec
2
(
5
x
)
d
x
. a)
2
tan
(
5
x
)
+
C
2\sqrt{\tan(5x)}+C
2
tan
(
5
x
)
+
C
b)
1
5
tan
(
5
x
)
+
C
\dfrac{1}{5}\sqrt{\tan(5x)}+C
5
1
tan
(
5
x
)
+
C
c)
2
5
tan
(
5
x
)
+
C
\dfrac{2}{5}\sqrt{\tan(5x)}+C
5
2
tan
(
5
x
)
+
C
d)
2
5
tan
3
/
2
(
5
x
)
+
C
\dfrac{2}{5}\tan^{3/2}(5x)+C
5
2
tan
3/2
(
5
x
)
+
C
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