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

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

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

int e^(sin^(-1)x)[1+(x)/(sqrt(1-x^(2)))]dx

Let F(x)=int e^(sin^(-1)x)(1-(x)/(sqrt(1-x^(2))))dx and F(0)=1, If F((1)/(2))=(k sqrt(3)e^((pi)/(6)))/(pi), then the value of k is

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

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

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

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

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

int(e^(m sin^(-1)x))/(sqrt(1-x^(2)))dx