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Integral Calculus

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4 Feb 2012 19:46:17 IST

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try this innocent looking question..

Mathematics

Integrate (0 to 2) dx / (1-x)^2

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santanu sinha

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4 Feb 2012 21:30:45 IST

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Vishal U. Karve

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4 Feb 2012 21:34:28 IST

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TRAP!!

Had it been an objective type question, you could get a negative mark....

It is wrong...

santanu sinha

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4 Feb 2012 21:37:09 IST

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why? its an area,so it has to be positive right?

santanu sinha

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4 Feb 2012 21:42:50 IST

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oh yes, :D i fell for the trap,my above query gave my answer..

Vishal U. Karve

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4 Feb 2012 21:55:45 IST

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I will reveal the answer if someone gives the right answer or atleast 5 people try and don't get it...

santanu sinha

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4 Feb 2012 22:51:00 IST

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the function is discontinuous at x=1

shivansh shrivastava

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4 Feb 2012 23:48:41 IST

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V cnt define it at 1,so v cnt integrate

Vishal U. Karve

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5 Feb 2012 18:43:49 IST

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Yeah, the integral is not defined because of discontinuity.

passionate 4 iit

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6 Feb 2012 16:23:40 IST

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so the answer is not defined rite???

Vishal U. Karve

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6 Feb 2012 18:46:33 IST

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Actually the area under the curve comes out to be infinity in the given interval. We may say the answer is +infinity.

Google this:

y=1/(x-1)^2

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