" (18) "int(dx)/(x^((1)/(2))+x^((1)/(3)))

Evaluate: int(dx)/(x^((1)/(2))+x^((1)/(3)))

If int (dx)/(x^((1)/(2))+x^((1)/(3)))=(k)/(3) sqrt(x)-(k)/(2)x^((1)/(3))+kx^((1)/(6))-k log |x^((1)/(6))+1|+c , then the value of k is-

int(dx)/((1+x)^((1)/(2))-(1+x)^((1)/(3)))

(a) Integrate :int(dx)/(x^(1/2)+x^((1)/(3)))

Evaluate the following integrals : (i) int(2(x+16)^((1)/(2))+(x+16)^((3)/(4)))/(x(x+16)^((5)/(4)))dx (ii) int(1+x^((1)/(2))-x^((2)/(3)))/(1+x^((1)/(3)))dx

Evaluate the following integrals : (i) int(2(x+16)^((1)/(2))+(x+16)^((3)/(4)))/(x(x+16)^((5)/(4)))dx (ii) int(1+x^((1)/(2))-x^((2)/(3)))/(1+x^((1)/(3)))dx

int(dx)/((x+1)^((1)/(3))+(x+1)^((1)/(2)))=

Evaluate: int(dx)/(x^(1/2)+x^(1/3))

Evaluate int (dx)/(x^(1/2)+x^(1/3))

Evaluate: int(dx)/(x^(1/2)+x^(1/3))