definite integral (23 mar.)

\hspace{-16}$Calculate $\mathbf{\int_{0}^{1}x^{2012}.(x^2-1)^5dx}$

6 Answers

1
Md. Shahbaz Siddiqi ·

are you sure its 2012 and not 2011...

1
Ayush Dube ·

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

71
Vivek @ Born this Way ·

Yes.. Since the power is upto 5 only. If nothing is available go as par Ayush has said.

1
blueivy ·

Can anyone explain how you used binomial in this??

71
Vivek @ Born this Way ·

Expand the binomial term. Multiply x^2012 with each terms and integrate each term by term.

1
blueivy ·

Okay, thanks, but that is too long.

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