If the integrand is a rational function of `x` and fractinal powers of a linear fractional of the form `(Ax+B)/(Cx+D)`, then rationalization of the integral is affected by the substitution `(Ax+B)/(Cx+D)=t^(m)`
If `int (dx)/(root(3)((x+1)^(2)(x-1)^(4)))=Kroot(3)((1+x)/(1-x))+C`,
Then `K` is equal to

If l=int(dx)/(root(3)((x+1)^(2)(x-1)^(4)))=kroot(3)((1+x)/(1-x))+c , then k is equal to

If the integrand is a rational function of x and fractional power of a linear fractional of the form (ax+b)/(cx+d) , then rationalization of the integral is affected by the substitution (ax+b)/(cx+d)=t^(m) , where m is L.C.M. of fractional powers of (ax+b)/(cx+d) . int(dx)/((x+1)^(2//3)(x-1)^(4//3))=k[(1+x)/(1-x)]^(1//3)+C then

If the integrand is a rational function of x and fractional power of a linear fractional of the form (ax+b)/(cx+d) , then rationalization of the integral is affected by the substitution (ax+b)/(cx+d)=t^(m) , where m is L.C.M. of fractional powers of (ax+b)/(cx+d) . int(dx)/((x+1)^(2//3)(x-1)^(4//3))=k[(1+x)/(1-x)]^(1//3)+C then

If the integrand is a rational function of x and fractional power of a linear fractional of the form (ax+b)/(cx+d) , then rationalization of the integral is affected by the substitution (ax+b)/(cx+d)=t^(m) , where m is L.C.M. of fractional powers of (ax+b)/(cx+d) . If int(dx)/((x-1)^(3//4)(x+2)^(5//4))=A((x-1)/(x+2))^(1//4)+C then

If the integrand is a rational function of x and fractional power of a linear fractional of the form (ax+b)/(cx+d) , then rationalization of the integral is affected by the substitution (ax+b)/(cx+d)=t^(m) , where m is L.C.M. of fractional powers of (ax+b)/(cx+d) . If int(dx)/((x-1)^(3//4)(x+2)^(5//4))=A((x-1)/(x+2))^(1//4)+C then

If the integrand is a rational function of x and fractional power of a linear fractional of the form (ax+b)/(cx+d) , then rationalization of the integral is affected by the substitution (ax+b)/(cx+d)=t^(m) , where m is L.C.M. of fractional powers of (ax+b)/(cx+d) . If int(dx)/((x-1)sqrt(1-x^(2)))=ksqrt((x+1)/(1-x))+C then

If the integrand is a rational function of x and fractional power of a linear fractional of the form (ax+b)/(cx+d) , then rationalization of the integral is affected by the substitution (ax+b)/(cx+d)=t^(m) , where m is L.C.M. of fractional powers of (ax+b)/(cx+d) . If int(dx)/((x-1)sqrt(1-x^(2)))=ksqrt((x+1)/(1-x))+C then

Integration of rational functions I=int(x dx)/(x^(3)+1).