Question

evaluate the following integral

Answer 1

\[\frac{ 1 }{ (x^{2}+3)^{\frac{ 3 }{ 2 }} } dx\]

Answer 2

can you think of a neat trig substitution?

Answer 3

here is one hint:
\[\Large x=\sqrt{3}\tan\alpha \]

Answer 4

let x = \(\sqrt{3}\tan t \)

what will be dx now?

Answer 5

there we go ^^

Answer 6

@KatClaire are you getting me?

Answer 7

sorry I had to leave for a minute. so a would be equal to sqrt(3)? and u being x? @mathslover

Answer 8

for \[\frac{ 1 }{ a^{2}+u^{2} }\]

Answer 9

dx = \(\sqrt{3} \sec^2 t dt\)