`3/(4x + 3)=1/(4x)`

If (2x+3)/((x-3)(x+k))=9/(4(x-3))-1/(4(x+k)) " then "k=

I : The partial fractions of (2x+3)/((x+1)(x-3)) " are " 9/(4(x-3))-1/(4(x+1)) . II : The partial fractions of 2/((x+1)(x+3)) " are " 1/(x+1)-1/(x+3) .

Solve : frac(3)(4x+3) = frac(1)(4x)

If tan^(-1)((x-3)/(x-4))+tan^(-1)((x+3)/(x+4))=(pi)/(4)

Evaluate int ((8x+13)/sqrt(4x+7)) dx (A) 1/3 (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c (B) 1/6 (4x+7)^(5/2) - 2/3 (4x+7)^(3/2) + c (C) 1/3 (4x+7)^(5/2) - 1/2 (4x+7)^(3/2) + c (D) (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c

Evaluate int ((8x+13)/sqrt(4x+7)) dx (A) 1/3 (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c (B) 1/6 (4x+7)^(5/2) - 2/3 (4x+7)^(3/2) + c (C) 1/3 (4x+7)^(5/2) - 1/2 (4x+7)^(3/2) + c (D) (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c

If (3x-1)^3+(4x-3)^3+ (2x+1)^3= 3(3x - 1)(4x - 3)(2x +1) and x ne 1/3 then x=? यदि (3x-1)^3+(4x-3)^3+ (2x+1)^3= 3(3x - 1)(4x - 3)(2x +1) है तथा x ne 1/3 है, तो x=?