`1=int_0^1x(1-x)^n`

int_0^1x(1-x)^ndx

If U_n=int_0^1x^n(2-x)^ndxa n dV_n=int_0^1x^n(1-x)^n dx ,n in N , and if (V_n)/(U_n)=1024 , then the value of n is________

If U_n=int_0^1x^n(2-x)^ndxa n dV_n=int_0^1x^n(1-x)^n dx ,n in N , and if (V_n)/(U_n)=1024 , then the value of n is________

Evaluate: int_0^1x(1-x)^n dx

Evaluate: int_0^1x(1-x)^n dx

What is int_0^1 x(1-x)^n dx equal to

The value of the integral int_0^1 x(1-x)^n dx=

(i) int_0^1 x sqrt(2-x) dx (ii) int_0^1 x^2(1-x)^n dx

By using the properties of definite integrals, evaluate the integrals int_0^1x(1-x)^n dx