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find : \frac{29\int_{0}^{1}{\left(1-x^4 \right)^{7}}\mathrm{dx}}{4\int_{0}^{1}{\left(1-x^4 \right)^{6}}\mathrm{dx}} ...
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http://ibnlive.in.com/news/patna-boy-tulsi-is-youngest-professor-at-iitb/126570-3.html ...
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i cudnt understand a single term, but seems that all r some hi fi concepts.may be many of u know the meaning of these words (lyk our forum experts and johny)........... G. H. Hardy quotes: "The limitations of his knowledge we ...
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how is *Image* where *Image* i.e is how is \prod_{k=1}^{n}{\frac{1}{x^2-2x\cos \alpha+1}}=\frac{1}{n}\sum_{k=1}^{n}{\frac{1-x\cos \alpha}{x^2-2x\cos \alpha+1}} ...
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this statement was told by whom and about what ? Here in the place of that Hijli Detention Camp stands the fine monument of India, representing India's urges, India's future in the making. This picture seems to me symbolical ...
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*Image* ...
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find : \int_{0}^{\frac{\pi}{3}}{\sin{\left( x-\frac{\pi}{6}}\right)\sin{\left( 2x-\frac{\pi}{3}}\right)\sin{\left( 3x-\frac{\pi}{2}}\right)\sin{\left( 4x-\frac{2\pi}{3}}\right)\sin{\left( 5x-\frac{5\pi}{6}}\right)} ...
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\texttt{let a,b,c be positive reals} \\ \texttt{if} \ a+b+c=3 \\ \texttt{then prove that:}\\ \frac{a}{4b^{2}+1}+\frac{b}{4c^{2}+1}+\frac{c}{4a^{2}+1}\geq\frac{3}{5} ...
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\boxed {1} \int_{0}^{\pi}{e^{\sec x}}\sec^3x\left(\sin^2 x+\sin x+\cos x+\sin x\cos x \right)\mathrm{dx} \boxed {2} Two rational numbers m and n are selected t random . the probability that m2+n2 is a multiple of 7 is ? \boxe ...
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\boxed{1} \int \frac{\mathrm{dx}}{1+x^4} \\ \boxed{2}\int \frac{\sin x+\sin 2x}{\sqrt{\cos x+\cos 2x}}\mathrm{dx}\\ \boxed{3}\int \frac{1+x^{\frac{2}{3}}}{1+x}\mathrm{dx} ...
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this not official but 100 % true (i feel) http://piratecoders.co.cc/iitjee/results.html ...
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http://gigapan.org/viewGigapanFullscreen.php?auth=033ef14483ee899496648c2b4b06233c View the link above and zoom in wherever you wish.. You can pan and zoom to any section of the crowd. When you zoom in, initially the photo wi ...
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give your opinions on existece of god mine : sometimes i feel he is there but sometimes i become an atheist ...
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*Image* ...