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

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

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

Evaluate int(1)/(x+sqrt(x))dx

Evaluate the following integrals: int1/(sqrt(x))\ dx

Evaluate the following integrals: int1/(sqrt(x))\ dx (ii) int1/(x^3)\ dx (iii) inta^(3\ (log)_a x)\ dx

Evaluate: int1/(x^(3)sqrt(x^2-1))\ dx

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

By using the properties of definite integrals, evaluate the integrals int_0^a(sqrt(x))/(sqrt(x)+sqrt(a-x))dx

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 int_1^3(2x+3)dx