Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (anonymous):

The integral of 1/(x^2+9)^(3/2)dx Ive been trying to solve this for 2 hours please help!

OpenStudy (abb0t):

\[\int\limits \frac{ 1 }{ \sqrt{(x^2+9)^3} }dx\]

OpenStudy (anonymous):

Thats the problem Im doing...But its to the power of (3/2)

OpenStudy (anonymous):

hey, i couldn't figure out the substitution by inspection so i looked up the step by step on wolfram alpha, it's a tan substitution...

OpenStudy (sirm3d):

rewrite \[\sqrt{(x^2+9)^3}\] as \[\left(\sqrt{x^2+9}\right)^3\] trigonometric substitution \[x=3\tan \theta\] follows

OpenStudy (abb0t):

\[(a)^\frac{ 3 }{ 2 } = \sqrt[2]{a^3}\] @sirm3d has the right idea. Use trig subsitution.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
kaelynw: art igg
13 minutes ago 7 Replies 1 Medal
XShawtyX: Art
14 hours ago 6 Replies 0 Medals
Nina001: teach me how to draw or just tell me the basics
17 hours ago 2 Replies 1 Medal
XShawtyX: We doing another drawing gimme ideas to add to this
18 hours ago 9 Replies 1 Medal
RAVEN69: What is x 3+y 3+z 3=k
22 hours ago 20 Replies 1 Medal
cinna: Who is good with photo editing? Dm me pls
1 day ago 2 Replies 0 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!