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1 solution
Congrats dude! Now let's start the integration contest! (After boards though )
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U don't have any authority! :P let the contest be once a year (December). Do one thing keep a junior integration contest with an age limit.
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@Harsh Shrivastava – That's a good idea. But I have yet to learn whole integration , I have just finished the basics!
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@Nihar Mahajan – That's why I suggested to have an age limit. But if parth and kirtarth participate then.... The contest will end then and there.
Thank you :) Yes , we would hold it in April , till then I would have learnt some integration :P
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LOL would i be able to take part in junior contest(i am only 13).
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@Aareyan Manzoor – Why not :)
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@Harsh Shrivastava – Because i know advanced integration techniques(learned them right after the end of the integration contest).
It would've been better if you had given a simple proof of that property. It would be easy for beginners.
We use the property that if f is an odd function then ∫ − a a f ( x ) d x = − ∫ 0 a f ( x ) d x + ∫ 0 a f ( x ) d x = 0 . Note that f ( x ) = 1 + x 2 + x 4 tan x satisfies f ( − x ) = − f ( x ) , hence its an odd function and the result follows.