Question

integral of dx/2x^2 +4x +3

Answer 1

complete the square in the denominator and try a trig substitution

Answer 2

well... could it be like this...

\[\int\limits_{}^{}\frac{ dx }{ 2x ^{2}+4x+3 }= \frac{ 1 }{ 2 }\int\limits_{}^{}\frac{ dx }{ (x+1)^{2}+1}\]

Answer 3

Excellent ! looks like u substitution will do :
u = x+1

Answer 4

I am often amazed that how dumb I am. I was going to do a trig substitution lol.

Answer 5

so then,\[(\tan ^{-1} x+1) +c\]

Answer 6

haha i was about to do the same lol

Answer 7

looks good^^
don't forget the 1/2 which you have factored out earlier

Answer 8

ah...haha i missed it