- #1
PFStudent
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Homework Statement
Ok, I am evaluating the following integral,
[tex]
{{\int_{0}^{\infty}}{\frac{{R_{0}}ds}{\left({{s}^{2}+{R_{0}}^{2}\right)^{\frac{3}{2}}}}}
[/tex]
Following through with trigonometric substitution I have the following,
[tex]
{\left[{{{\frac{1}{R_{0}}}{\cdot}{\frac{s}{(s^2+{R_{0}}^2)^{\frac{1}{2}}}}\right]_{0}^{\infty}}}
[/tex]
However, I am not quite sure what the result will be when I evaluate the integral.
Homework Equations
Trigonometric Substitution Techniques for evaluating Integrals.
The Attempt at a Solution
[tex]
{\left[{{{\frac{1}{R_{0}}}{\cdot}{\frac{(\infty)}{({(\infty)}^2+{R_{0}}^2)^{\frac{1}{2}}}}}\right]-{\left[{{{\frac{1}{R_{0}}}{\cdot}{\frac{(0)}{({(0)}^2+{R_{0}}^2)^{\frac{1}{2}}}}}\right]
[/tex]
[tex]
{\left[{{{\frac{1}{R_{0}}}{\cdot}{\frac{(\infty)}{({(\infty)}^2+{R_{0}}^2)^{\frac{1}{2}}}}}\right]-{\left[0\right]}\right]
[/tex]
However, how I am supposed to reduce the expression with the value of infinity plugged in, how would I reduce that expression?
Any help is appreciated.
Thanks,
-PFStudent
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