Find `int_(0)^(1)x^((3)/(2))sqrt(1-x)dx`

int_(0)^(1) (1)/(sqrt(1-x^(2)))dx

int_(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx

int_(0)^(1) (x)/(sqrt(1 + x^(2))) dx

Evaluate : int_(0)^(1)(e^(sqrt(x)))/(sqrt(x))dx

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

(9) int_(0)^(1)(dx)/(x+sqrt(1-x^(2)))

Evaluate: (i) int((sin^(-1)x)^3)/(sqrt(1-x^2))\ dx (ii) int(sin(2+3logx)/x\ dx

Evaluate: int_0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

Evaluate : (i) int_(0)^(1)(3sqrt(x^(2))-4sqrt(x))/(sqrt(x))dx , (ii) int_(0)^(1)x cos(tan^(1)x)dx

Evaluate : int_(0)^(9) (1)/(1+sqrt(x))dx