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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
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
Related theory
Integration Techniques
Integration by Substitution
Integrals
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