Which of the following is equivalent to ∫01x2(1−x)ndx\int_0^1 x^2 (1-x)^n dx∫01x2(1−x)ndx?
2(n+1)(n+2)(n+3)\frac{2}{(n+1)(n+2)(n+3)}(n+1)(n+2)(n+3)2
1n(n+1)(n+2)\frac{1}{n(n+1)(n+2)}n(n+1)(n+2)1
1(n+1)(n+2)(n+3)\frac{1}{(n+1)(n+2)(n+3)}(n+1)(n+2)(n+3)1
000