" A."quad (ax+b)^(2)

int (ax +b)^(2)dx

int(ax+b)^(2)dx

Find an anti derivative (or integral) of the following functions . (ax+b)^(2)

y = (ax + b) e^(-2x)

int x(ax+b)^(1/2)dx

If (1)/((ax+b)(cx+d))+(A)/(ax+b) + (B)/(cx+d) then show that (1)/((ax+b)^(2)(cx+d))=(A)/((ax+b)^(2))+(AB)/(ax+b)+(B^(2))/(cx+d) .

If (1)/((ax+b)(cx+d))=(A)/(ax+b) + (B)/(cx+d) then show that (1)/((ax+b)^(2)(cx+d))=(A)/((ax+b)^(2))+(AB)/(ax+b)+(B^(2))/(cx+d) .

If x_(1),x_(2) are the roots of the quadratic equation ax^(2)+bx+c=0 and c ne 0, find the value of (ax_(1)+b)^(-2)+(ax_(2)+b)^(-2) in terms of a,b,c