ax^(n)+b^(n)

(ax)^(m)+(b)^(n)

If one root is nth power of the other root of this equation x^(2)-ax+b=0 then, b^(n/(n+1))+b^(1/(n+1)) = (A) a (B) a^(n) (C) b^(n) (D) ab

If alpha and beta are the roots of the equation x^(2)-ax+b=0 and A_(n)=alpha^(n)+beta^(n)

If y=ax^(n+1)+bx^(-n), then x^(2)(d^(2)y)/(dx^(2)) is equal to n(n-1)y(b)n(n+1)yny(d)n^(2)y

If y=ax^(n+1)+bx^(-n), then x^(2)(d^(2)y)/(dx^(2))=n(n-1)y(b)n(n+1)y(c)ny(d)n^(2)y

If I_(n) = int x^(-n) e^(ax) dx then prove that I_(n)=(-e^(ax))/((n-1)x^(n-1))+(a)/(n-1)I_(n-1)

If I_(n) = int x^(-n) e^(ax) dx then prove that I_(n)=(-e^(ax))/((n-1)x^(n-1))+(a)/(n-1)I_(n-1)