Mathematics

$$\displaystyle \int  \dfrac { dx }{ { \left( 1+x \right)  }^{ 5 }\sqrt { { { x }^{ 2 } }+2x }  } =\dfrac { -1 }{ 8 } \left( 3\theta -2\sin { 2\theta +\dfrac { \sin { 4\theta  }  }{ 4 }  }  \right) +c$$ where


ANSWER

$$\theta =\sin ^{ -1 }{ \left( x+1 \right) } $$


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Single Correct Medium Published on 17th 09, 2020
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