[tex] \int_0^* \frac {dz}{z^23Z +2}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex]=\lim_{t\rightarrow \*} \int_0^* \frac{dz}{z^2+3Z+2}[/tex]

[tex]=\lim_{t\rightarrow \*} \int_0^* \frac{dz}{(z+3/2)^2 -1/4}[/tex]

let u=z+3/2

du=dz

[tex]=\lim_{t\rightarrow \*} \int_0^* \frac{du}{(u)^2 -1/4}[/tex]

[tex] = \frac{1}{2(1/2)}ln|\frac{u-1/2}{u+1/2}[/tex]

[tex] = ln |\frac{z+1}{z+2}| \right]_0^*[/tex]

[tex] = -ln \frac{1}{2}[/tex]

this is one of the first of these im doing so bear with me if its horrible wrong

EDIT:* denotes infinite..PS is there a latex for infinite?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Does this look right?

**Physics Forums | Science Articles, Homework Help, Discussion**