(ax+b)/(cx+d)

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) . 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)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

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) . int(dx)/((x+1)^(2//3)(x-1)^(4//3))=k[(1+x)/(1-x)]^(1//3)+C then

Differentiate : sin(ax+b)/cos(cx+d)

Integral of form (ax+b)sqrt(cx+d)dx or (ax+b)/(sqrt(cx+d))dx (Algo/Method)

Differentiate :(sin(ax+b))/(cos(cx+d))

Differentiate (sin(ax+b))/(cos(cx+d)) .