" 57."int(ax+b)/((cx+d)^(2))dx

int(ax+b)/(cx+d)dx

Evaluate: int(ax+b)/((cx+d)^(2))dx

int(ax+b)^(2)dx

int (ax +b)^(2)dx

Evaluate the following integrals. int(dx)/(a^(2)+(b+cx)^(2))

Differentiate the functions with respect to x in (sin (ax + b))/(cos(cx + d))

int(ax^(3)+cx)/(x^(4)+c^(2))dx

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

int(ax+b)sqrt (cx+d)dx