यदि $\int\left(\frac{1}{x}+\frac{1}{x^3}\right)\left(\sqrt[23]{3 x^{-24}+x^{-26}}\right) d x =-\frac{\alpha}{3(\alpha+1)}\left(3 x^\beta+x^\gamma\right)^{\frac{\alpha+1}{\alpha}}+C, x>0,$ $(\alpha, \beta, \gamma \in Z)$,जहाँ $C$ समाकलन का स्थिरांक है,तो $\alpha+\beta+\gamma$ का मान . . . . . . है।

  • A
    $18$
  • B
    $19$
  • C
    $20$
  • D
    $21$

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$\begin{aligned} & \text{यदि } 5(f(x))^2 = x f(x) + 30 \text{ और } \\ & \int \frac{3 x^3 + (1 - 30 x^2) f(x)}{(10 f(x) - x)(x^3 - f(x))^2} dx \\ & = \frac{A}{B x^3 + D f(x)} + C, \text{ तो } A + B + D = \end{aligned}$

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