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

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

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

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

Evaluate: int_0^1 1/(1+x^2)\ dx

Evaluate : int_0^1 1/(1+x^2)dx

Evaluate the definite integrals int_0^1 (dx)/(1-x^2)

If int_0^1e^ (-x^2) dx=a , then find the value of int_0^1x^2e^ (-x^2) dx in terms of a .

If int_(0)^(1) x e^(x^(2) ) dx=alpha int_(0)^(1) e^(x^(2)) dx , then

The value of ("^n C_0)/n + ("^nC_1)/(n+1) + ("^nC_2)/(n+2) +....+ ("^nC_ n)/(2n) is equal to a. int_0^1x^(n-1)(1-x)^n dx b. int_1^2x^n(x-1)^(n-1)dx c. int_1^2x^(n-1)(1+x)^n dx d. int_0^1(1-x)^(n-1)dx

If int_0^1 xe^(x^2) dx=k int_0^1 e^(x^2) dx , then (A) kgt1 (B) 0ltklt1 (C) k=1 (D) none of these