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dhirajsethia (0)

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integrate
 
(1-t^2)dt
    
iitaspirant10 (111)

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t-t^3/3+c

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dhirajsethia (0)

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sorry
the question was
 
(1-t)^2dt
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KAB (1674)

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answer is t+(t^3)/3-t^2+c

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NITK Surathkal

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edison (5135)

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I = (1-t)2dt

=
(1- 2t + t2) dt

= t - t2 + t3/3 + C

where C is constant of integration.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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