Evaluate
Evaluate an improper integral
![](../../../images/3_2.png)
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let u=x+3 so that du=dx
![](../../../images/3_2.png)
@mearing I think you got this right but you seem to have dropped your bounds of integration along the way.
![](../../../images/{size}.png)
let u = x+3 so that du = dx. Thus,
![](../../../images/{size}.png)
Let u=x+3 so that du = dx
as b\to \infty.
![](../../../images/{size}.png)
let u=x+3 so that du=dx
so \lim\limits_{b \to \infty}-\frac{2}{x+3} \Big|_0^{b} = \frac{2}{3}
![](../../../images/3_2.png)
@mearing @chowell1 @rstahles @myost
I don’t quite see the fully correct response here just yet. I think some combination of mearing’s and rstahles’ might work. I like rstahles’ response because the variables are changed. I like mearing because \infty isn’t plugged in.
We don’t ever plug \infty into an algebraic expression; rather, we take a limit as a variable approaches \infty. Thus,
is complete nonsense because \infty is not even a number. You can’t do algebraic operations with it. On the other hand,
is a well defined mathematical equation.
![](../../../images/{size}.png)
![](../../../images/{size}.png)
have u=x+3 so then du=dx