1.

int_0^1x(1-x)^ndx

Answer»

Solution :`I=int_0^1x(1-X)^ndx`
=`int_0^1(1-x)x^ndx`
=`int(x^n-x^(n+1))DX`
=`[x^(n+1)/(n+1)-x^(n+2)/(n+2)]_0^1`
=`1/(n+1)-1/(n+2)=1/((n+1)(n+2))`


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