" 21."int(x^(2))/(sqrt(1-x))dx,x in(-oo,1)

Evaluate the integerals. int (x^(2))/(sqrt(1-x))dx, x in (-oo, 1).

Find int (x^2)/(sqrt(x+5)) dx " on " (-5, oo)

Evaluate: (i) int(a^(x))/(sqrt(1-a^(2x)))dx (ii) int(2x)/(sqrt(1-x^(2)-x^(4)))dx

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

int x^(2)sqrt(x+2)dx(ii)int(x^(2))/(sqrt(x-1))dx

Evaluate: (i) int(a^x)/(sqrt(1-a^(2x)))\ dx (ii) int(2x)/(sqrt(1-x^2-x^4))\ 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 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