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(1-x^3)^n

(1-x^3)^n

Grade:10

1 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Ashutosh,

 

Please note that this can be integrates only when "n" is a natural number.

 

So now (1-x3)n can be binomially expanded, and you will have

1 - nC1x3 + nC2x6 - nC3x9 + ............ (-1)n nCnx3n

Now each of the terms can be easily intergrated individually using the integration of xn = xn+1/(n+1).

 

Hope that helps,

All the best,

Regards,

Ashwin (IIT Madras)

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