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Integration of tanx

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User Generated
Subject
Calculus
Type
Exam Practice
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Solve
tanx dx
Solution
From the knowledge of trigonometry we can write :
tanx dx=
sinx
cosx
dx
Let
cosx=t
dt
dx
=sinx sinx dx =dt
Substituting the values in the given problem we get
sinx
cosx
dx=
dt
t
ln t +C
Replacing the value of t we get
ln t +C ln
(
Cosx
)
+C
¿ ln
(
Sec x
)
+C
Answer :
tanx dx=ln
(
Sec x
)
+C

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Solve Solution From the knowledge of trigonometry we can write : Let Substituting the values in the given problem we get Replacing the value of t we get Answer : ...
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