Question

help finish solving.

Answer 1

\[\int\limits_{}^{}\frac{ 9 }{ \sqrt{x ^{2}+3} } dx\]

Answer 2

\[9\ln|\sec \theta+\tan \theta|+c\]

how do i finish soolving

Answer 3

\[x=a \tan \theta\]
\[x=\sqrt{3}\tan \theta \]
\[dx=\sqrt{3}\sec ^{2}\theta d \theta \]

\[\int\limits_{}^{}\frac{ 9\sqrt{3}\sec ^{2}\theta }{ \sqrt{3}\sec \theta } d\]

\[9\int\limits_{}^{}\sec \theta d \theta \]

Answer 4

\[9\ln| \sec \theta +\tan \theta | +c\]

Answer 5

need help going to x terms again

Answer 6

final answer

\[9 \ln | \frac{ \sqrt{x^2 +3} }{ \sqrt{3}} + \frac{ x }{ \sqrt{3} }|+c\]

Answer 7

do you know how to solve it?