How Can I Solve This Integral Using Trigonometric Substitution?

  • Thread starter sania16
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In summary, the conversation discusses a request for help with solving the integral of 1/(sqrt((4+9x^2)^3)). The person is directed to a website where they can obtain the answer, but they express a desire to understand the method. A hint is given to try a trig substitution, which ultimately leads to the solution. The person expresses gratitude and frustration with the time spent on the problem.
  • #1
sania16
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Homework Statement


[tex]\int1/\sqrt{(4+9x^2)^3}dx[/tex]




3. The Attempt at a Solution :

i think i do all options that i now, but i cannt to make a solution of this, (the way)? may be anybody can help me,
 
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  • #2
You can get the answer here: http://integrals.wolfram.com/index.jsp

Enter 1/(Sqrt((4+9*x*x)^3))

Maybe once you have the answer it will give you some ideas about how to solve it.

If you still need help, come back and let us know.
 
  • #3
eeeeeeeeemmmh thnks, the answer i know, and in others sites,i gave the same answer,

but i want to see the way... :(((((((((((
 
  • #4
Welcome to PF!

Hi sania16! Welcome to PF! :smile:

(have a square-root: √ and an integral: ∫ and try using the X2 tag just above the Reply box :wink:)

sania16 said:
eeeeeeeeemmmh thnks, the answer i know, and in others sites,i gave the same answer,

but i want to see the way... :(((((((((((

Quite right! :smile:

Hint: for √(a ± bx2), always try a trig substitution first. :wink:
 
  • #5
yes you right ! thank you.

i change 3x=2tg(t), and everything being cool!

thanks to all of you!

p.s: how much time i spend on this... :(
 

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