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Integral Calculus

Blazing goIITian

Joined:	10 Jun 2007
Post:	985

1 Apr 2009 20:59:33 IST

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327

Great question

None

Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g be the function satisfying f(x) + g(x) = x². The value of the integral is

(a) (e-7)/4

(b) (e-2)/4

(d) none of these

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Ankit

Blazing goIITian

Joined: 17 Oct 2007

Posts: 1659

1 Apr 2009 21:05:58 IST

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f(x)=f'(x)

therefore f(x)=e^x

g(x)= x^2 -e^x

ankit aggarwal

Blazing goIITian

Joined: 10 Feb 2008

Posts: 303

1 Apr 2009 22:44:37 IST

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it is really a good question

my answer is:-

i.e (d)

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