Evaluate the integral `int(1)/(x^(3)sqrt(x-1))dx`.

Evaluate the integral int1/(x^(3)(x-1))dx .

Find the value of the integral int(x+1)/(sqrt(2x-1))dx

Evaluate the integrals int_(0)^(1)(x)/(x^(2)+1)dx

Find the integral int(1-x)sqrt(x)dx

Evaluate the integral int(sqrt(x)+(1)/(sqrt(x)))^(2)dx

Evaluate the integral : int(sqrt(x)+(1)/(sqrt(x)))^(2)dx

Evaluate the following integrals: int(1)/(sqrt(x))dx (ii) int(1)/(x^(3))dx( iii) int a^(3)(log)_(a)x

By using the properties of definite integrals, evaluate the integrals int_(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))dx

Evaluate the following integrals: inte^(sqrt(x))dx