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Ask iit jee aieee pet cbse icse state board experts Expert Question: solve sec^3 and tan^3...required for theory
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[Post New]14 Feb 2008 15:39:03 IST
    Subject: solve sec^3 and tan^3...required for theory
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nirupamanG (0)

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plz solve sec^3 [i.e. power 3] and tan^3 probs required for theory purpose
    
[Post New]14 Feb 2008 16:58:02 IST
    Subject: Re:solve sec^3 and tan^3...required for theory
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akhil_o (2699)

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if u mean integration of tan^3 x
 
[ ][ ] tan3x
=tan x(sec2x-1)
=tanx sec2x-tan x dx
tan x=t,dt=sec2xdx
tdt-tanx dx
=tan2x/2 -log |sec x|
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[Post New]14 Feb 2008 18:10:51 IST
    Subject: Re:solve sec^3 and tan^3...required for theory
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sboosy (2970)

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sec3x dx =  secx sec2x dx
tan x =t
sec2x dx = dt
sec x = 1+t2
use the formula for
 1+t2 dt = (t1+t2 )/2 + 1/2(log (t+1+t2) + c
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[Post New]14 Feb 2008 21:27:58 IST
    Subject: solve sec^3 and tan^3...required for theory
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iitkgp_bipin (5793)

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Well done guys. Good work.
Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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