`int((sin^(-1)x)^((3)/(2)))/(sqrt(1-x^(2)))dx`

int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))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

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

Evaluate: int(x^(3)sin^(-1)x^(2))/(sqrt(1-x^(4)))dx

inte^(sin^(-1)x)((x+sqrt(1-x^2))/(sqrt(1-x^2)))dx=

Evaluate: int(2x-sqrt(sin^(-1)x))/(sqrt(1-x^(2)))dx

If int(2x-sqrt(sin^(-1)x))/(sqrt(1-x^(2)))dx=C-2sqrt(1-x^(2))-(2)/(3)sqrt(f(x)) then f(x) is equal to

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

Evaluate : (i) inte^(x)((1)/(x)-(1)/(x^(2)))dx (ii) inte^(x)((1)/(x^(2))-(2)/(x^(3)))dx (iii) inte^(x){sin^(-1)x+(1)/(sqrt(1-x^(2)))}dx (iv) inte^(x)(tanx+logsecx)dx