\(\int_{0}^{1}x(1-x)^ndx=\)1\(\frac{1}{n+1}+\frac{1}{n+2}\)2\(\frac{1}{(n+1)(n+2)}\)3\(\frac{1}{n+1}-\frac{1}{n+2}\)4\(\frac{1}{n+2}-\frac{1}{n+1}\)Answer & explanation+Correct answer: option 2A detailed explanation for this question is coming soon.