(5x-2)/(1+2x+3x^(2))

integrate the function (5 x-2)/(1+2 x+3 x^2)

Simplify: (x^(2)-3x+2)(5x-2)-(3x^(2)+4x-5)(2x-1)

lim_(x rarr0)((1+5x^(2))/(1+3x^(2)))^(1/x^(2))=

lim_( x to 0) ((1+5x^(2))/(1+3x^(2)))^(1//x^(2)) = … .

If y="tan"^(-1)(4x)/(1+5x^(2))+"tan"^(-1)(2+3x)/(3-2x) , prove that, (dy)/(dx)=(5)/(1+25x^(2))

If y= "tan"^(-1) (4x)/(1+5x^(2)) + "tan"^(-1) (2 + 3x)/(3-2x) , then prove that (dy)/(dx)= (5)/(1+25x^(2))

lim_ (x rarr oo) {(1 ^ (2)) / (1-x ^ (3)) + (3) / (1 + x ^ (2)) + (5 ^ (2)) / (1- x ^ (3)) + (7) / (1 + x ^ (2)) + ...)

If y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x)) , then (dy)/(dx) is equal to a) (5)/(1+25x^(2)) b) (1)/(1+25x^(2)) c)0 d) (5)/(1-25x^(2))