Question

indefinite integral of 1/(3+25x^2)dx

Answer 1

go @Mimi_x3 !!! she's awesome ;)

Answer 2

\[\large \int\limits\frac{1}{3+25x^{2}} dx\]
You can either use trig-sub or table of standard integral? Which one do you want to use?

Answer 3

@lgbasallote is awesomeerrr!

Answer 4

could you possibly do the beginnings of both? this is final review so i just need a refresher

Answer 5

partial fractions is fun....lol

Answer 6

well, if you want to use the table of standard integrals you can use:
\[\int\limits\frac{1}{25(\frac{3}{25}+x^{2})} => \frac{1}{25} \int\limits\frac{1}{\left(\frac{\sqrt{3}}{5}\right)^{2}+x^{2}} \]

Answer 7

And trig-sub is: \(x=\frac{\sqrt{3}}{5}
tan\theta\)

Answer 8

or use trig-sub from the start..makes no difference

Answer 9

No, trig sub or table of standard integrals. but trig-sub is easier.