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Evaluate: int (dx)/(xsqrt(4x+9)) . (Hint: Substitute { ( :(u=sqrt(4x+9)).) } (3) (1)/(6)arctan((sqrt(4x+9))/(3))+C (1)/(3)ln|4x|+C (1)/(3)ln|(sqrt(4x+9)+3)/(sqrt(4x+9)-3)|+C (1)/(3)ln|(sqrt(4x+9)-3)/(sqrt(4x+9)+3)|+C (1)/(3)xlnsqrt(4x+9)+C None of the answers
Evaluate:
\\\\int (dx)/(x\\\\sqrt(4x+9))
. (Hint: Substitute
{
(
:(u=\\\\sqrt(4x+9)).)
}\ (3)
(1)/(6)arctan((\\\\sqrt(4x+9))/(3))+C
\
(1)/(3)ln|4x|+C
\
(1)/(3)ln|(\\\\sqrt(4x+9)+3)/(\\\\sqrt(4x+9)-3)|+C
\
(1)/(3)ln|(\\\\sqrt(4x+9)-3)/(\\\\sqrt(4x+9)+3)|+C
\
(1)/(3)xln\\\\sqrt(4x+9)+C
\ None of the answers presented here
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