int(xdx)/(2012sqrt((1+x^(2))^(1012)(2+x^(2))^(3012)))=(alpha)/(2 beta)(1-f(x))^(beta/ alpha)+c

int(x backslash dx)/(root(2 0 0 1 2)((1+x^(2))^(1012)(2+x^(2))^(3012)))=(alpha)/(2 beta)(1-f(x))^(beta/ alpha)+c

int(dx)/((1+sqrt(x))^(2010))=2[(1)/(alpha(1+sqrt(x))^(alpha))-(1)/(beta(1+sqrt(x))^(beta))]+c where alpha,betagt0 then alpha-beta is a)1 b)2 c) -1 d) -2

if int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c. then alpha +(1)/(beta )=

If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: alpha^(2)+beta^(2)( ii) (alpha)/(beta)+(beta)/(alpha)( iii) alpha^(3)+beta^(3)(1)/(a^(3))+(1)/(beta^(3))(v)(alpha^(2))/(beta)+(beta^(2))/(alpha)

If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha>beta) then find the value of f(alpha,beta)=(beta^(3))/(2)csc^(2)((1)/(2)tan^(-1)((beta)/(alpha))+(alpha^(3))/(2)sec^(2)((1)/(2)tan^(-1)((alpha)/(beta)))

if alpha,beta be the roots of the equation ax^(2)+bx+c=0 then the roots of a(2x+1)^(2)+b(2x+1)(x-1)+c(x-1)^(2)=0 are (i) (2 alpha+1)/(alpha-1),(2 beta+1)/(beta-1) (ii) (2 alpha-1)/(alpha+1),(2 beta-1)/(beta+1) (iii) (alpha+1)/(alpha-2),(beta+1)/(beta-2)( iv) (2 alpha+3)/(alpha-1),(2 beta+3)/(beta-1)

If alphaa n dbeta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2-b(2x+1)(3-x)+c(3-x)^2=0 are (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these

If alpha and beta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2+b(2x+1)(x-3)+c(x-3)^2=0 are a. (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these