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Integral Calculus

Blazing goIITian

Joined:	10 Jun 2007
Post:	985

2 Apr 2009 01:31:10 IST

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The value of is

(a) 1

(b) 0

(d) none of these

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kabi

Blazing goIITian

Joined: 11 Jan 2009

Posts: 575

2 Apr 2009 01:46:45 IST

Like 1 people liked this

2x -1 = x + (x-1)

tan^-1( 2x -1 / 1+ x( x-1)) = tan^-1 x + tan^-1( x -1)

so ur question will become

int ( 0 to 1 ) tan^-1 x + tan^-1( x -1)

= int ( 0 to 1) tan^-1 x + int ( 0 to 1 ) tan^-1( -x)

= 0

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