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Integral Calculus

Scorching goIITian

Joined:	9 Jun 2008
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4 Jul 2009 14:36:11 IST

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182

some calculus qns.

None

pls solve these qns. 1)Let e be the eccentricity of a hyperbola x2/a2-y2/b2=1. and f(e) be the eccentricity of a conjugate hyperbola then the value of the integral is 2)3)The equation whose roots are reduced by 3 from the roots of the equation x3-3x2-4x+12=0 is denoted as f(x) .then f'(x)=_______________

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sankar

Scorching goIITian

Joined: 9 Jun 2008

Posts: 223

4 Jul 2009 17:21:41 IST

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ne more replis/

SAVVEJ

Blazing goIITian

Joined: 4 May 2007

Posts: 697

4 Jul 2009 18:44:23 IST

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1/ e2 +1 /e12 =1

e1=e/rt{e2-1}

i.e f{e}=

f{f{e}} = e

f{f{f{e}}}=

similarly f{f{....f{e}...199 times =

now

evaluate get the answer in terms of e and put value of e=

SAVVEJ

Blazing goIITian

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4 Jul 2009 18:46:00 IST

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qstn 2. sigm{x}=1 when x>0

sigm{x}=0 when x=0

sigm{x}=-1 when x<0

divide the intergral in parts and evaluate the ans..

SAVVEJ

Blazing goIITian

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Posts: 697

4 Jul 2009 18:47:48 IST

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for the third one:

put x-3 instead of x in the eqn and evalute to get f{x}

get f¹{x} to get the ans.

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