`int_0^1 x/(1-x)^54 dx`

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int_0^1x (1-x)^5 dx

int_0^1x/((1-x)^(54))dx= a. 9(pi/2)^9 b. 10(pi/2)^9 c. (pi/2)^9 d. 9\ (pi/2)^8

Evaluate : int_0^1x(1-x)^5dx

int_0^1 x(1-x)^(5/2) dx

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