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Integral Calculus

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2 Nov 2007 13:23:42 IST

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how we can integrate root secx w.r.t. dx

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how we can integrate root secx w.r.t. dx

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IYSWARYA SITHANATHAN

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Joined: 5 Aug 2007

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2 Nov 2007 15:48:13 IST

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SECX write as 1+TAN2X and then write TAN in terms of SIN@ COS........

Pratik Anand

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Joined: 11 Jun 2007

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2 Nov 2007 16:43:07 IST

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mera method lamba jaa rahaa hai. so siswarya if u have a shorter way then lemme know that..

'',' Off to a nu start!!

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2 Nov 2007 17:13:51 IST

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write sec x = ( 1 + tan^2 x)^1/2

now add sec ^2 x in den. & num....then put tan x = t

_{[ ]}

^{[ ]} ^{[ ]}

1 + t2 . dt

1 + t2

now its easy...

pradnya pednekar

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4 Nov 2007 19:46:57 IST

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I did understand your method. now how to integrate root tanx dx

kousik_paul

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Joined: 14 Jan 2007

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4 Nov 2007 23:38:02 IST

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write root tan x as (1/2){(root tan x + root cotx) +(root tan x -root cotx)}
then change tan and cot to sin and cox
for the first part
multiply both den and num byroot 2
and write den as root{ (sinx+cosx)^2-1}
then put sinx+cosx=z and so on

for the second part
multiply both den and num byroot 2
and write den as root{ (sinx-cosx)^2-1}
then put sinx-cosx=z and so on
please rate me if you like

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