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 Find the integral 152x(1+x)dx\text { Find the integral } \int \frac { 15 } { 2 \sqrt { x } ( 1 + x ) } d x \text {. }

Question 154

Multiple Choice

 Find the integral 152x(1+x) dx\text { Find the integral } \int \frac { 15 } { 2 \sqrt { x } ( 1 + x ) } d x \text {. }


A) 30arctan(x) +C\frac { 30 } { \arctan ( \sqrt { x } ) } + C
B) 15arctan(x) +C15 \arctan ( \sqrt { x } ) + C
C) 152arctan(x) +C\frac { 15 } { 2 \arctan ( \sqrt { x } ) } + C
D) 30arctan(x) +C\quad 30 \arctan ( \sqrt { x } ) + C
E) 15arctan(x) +C\frac { 15 } { \arctan ( \sqrt { x } ) } + C

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