are you sure its 2012 and not 2011...
\hspace{-16}$Calculate $\mathbf{\int_{0}^{1}x^{2012}.(x^2-1)^5dx}$
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6 Answers
Ayush Dube
·2012-03-27 00:01:18
i think it shud be 2011 and if it is 2012 then the way is too long anyway i m posting the solution
Use binomial theorm and integrate
Vivek @ Born this Way
·2012-03-28 08:00:52
Yes.. Since the power is upto 5 only. If nothing is available go as par Ayush has said.
Vivek @ Born this Way
·2012-03-29 11:19:54
Expand the binomial term. Multiply x^2012 with each terms and integrate each term by term.