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Discussion Response Post to:
integrate
Forum Index
->
Integral Calculus
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Author
Message
20 Feb 2008 13:08:37 IST
Subject:
Re:integrate
Accepted Answer
[?]
raulrag009
(
1223
)
Blazing goIITian
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Multiply by sec
2
x in numerator and denominator
I =
sec^2xdx / (1+tan
2
x)(1+2tan
2
x)
Put tanx=t
sec^2xdx=dt
I =
dt/(1+t
2
)(1+2t
2
)
Let
1/(1+t
2
)(1+2t
2
) = At+B/1+t^2 + Ct+D/1+2t^2
u can solve further by comparing
Ans is
tan
-1
(2tanx) - tan
-1
(tanx) +C
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