Mathematics

If $$\displaystyle\int { { x }^{ 1-/2 }{ \left( 2+{ 3x }^{ 1/3 } \right)  }^{ -2 } } dx=$$
$$A\tan ^{ -1 }{ \left\{ \sqrt { \dfrac { 3 }{ 2 }  } { x }^{ 1/6 } \right\}  } +B\dfrac { { x }^{ 1/6 } }{ 2+{ 3x }^{ 1/3 } } +C$$ then 


ANSWER

$$A=\dfrac{1}{\sqrt{6}}$$


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Single Correct Medium Published on 17th 09, 2020
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