MCQ
If $x \phi(x)=\int_{5}^{x}\left(3 t^{2}-2 \phi^{\prime}(t)\right) d t, x\,>\,-2$, and $\phi(0)=4$ then $\phi(2)$ is .... .
- ✓$4$
- B$6$
- C$8$
- D$10$
$\mathrm{x} \phi(\mathrm{x})=\mathrm{x}^{3}-125-2[\phi(\mathrm{x})-\phi(5)]$
$\mathrm{x} \phi(\mathrm{x})=\mathrm{x}^{3}-125-2 \phi(\mathrm{x})-2 \phi(5)$
$\phi(0)=4 \Rightarrow \phi(5)=-\frac{133}{2}$
$\phi(\mathrm{x})=\frac{\mathrm{x}^{3}+8}{\mathrm{x}+2}$
$\phi(2)=4$
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