Posted by **Erika** on Friday, May 24, 2013 at 9:55am.

find the indefinite integral of

(1/x)*(e^(-2log[ 3,x])) dx

where 3 is base of the log

i cannot even figure out where to start :( please help. thank you

- Indefinite Integrals -
**Steve**, Friday, May 24, 2013 at 10:38am
log_3(x) = lnx/ln3

e^(-2log_3(x))

= e^(-2lnx/ln3)

= (e^(lnx))^(-2/ln3)

= x^(-2/ln3)

so you have

∫(1/x) x^(-2/ln3) dx

= ∫x^(-2/ln3-1) dx

= 1/(-2/ln3) x^(-2/ln3)

or

-ln3/2 x^(-2/ln3)

- Bridesmaid Dresses: Spring/Summer 2014 Styles From -
**Bridesmaid Dresses: Spring/Summer 2014 Styles From**, Wednesday, May 29, 2013 at 6:24pm
<strong>Bridesmaid Dresses: Spring/Summer 2014 Styles From Top Designers (PHOTOS)</strong></br>

Who

## Answer this Question

## Related Questions

- Calc BC - 1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2...
- Integrals- Log/Ln - Can you check this please i'm not sure why it's wrong .__. 1...
- indefinite integrals - integral from 1 to 0 dx/x^1/2 i am unsure on how to even ...
- Maths - What is the answer for these questions:- 1) Indefinite Integrals gcx...
- Calculus - Solve these indefinite and definite integrals. [integration sign] 4j-...
- Calculus - Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of...
- Math - 1. Evaluate the indefinite integral ([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx. ...
- Calculus - I'm having some issues with computing this indefinite integral. I don...
- single variable calculus - indefinite integrals - integral of (1-(sinx)^2))/(...
- Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...

More Related Questions