Please help me evaluate the following interval (click to see) using an appropriate substitution.

Question

babyslapmafro · Answer

$$\int\limits_{}^{}\frac{ dx }{ \sqrt{x}e ^{(16\sqrt{x})} }$$

babyslapmafro · Answer

just realized i wrote interval and not integral

anonymous · Answer

$$u = 16\sqrt{x}$$$$du =\frac{ 8 dx }{ \sqrt{x} }$$$$8\int\limits_{}^{}\frac{ du }{ e ^{u} }$$

anonymous · Answer

So, just solve the new integral and resubstitute for the expression for x.

babyslapmafro · Answer

ok, and what does dx equal? Just so I know how to solve for dx...

anonymous · Answer

That's in the second of the three equations I determined.

babyslapmafro · Answer

Right, I do not know how to solve for dx

anonymous · Answer

You are in calculus, therefore, I'm sure you know basic arithmetic.  Just rearrange the second equation.  The three equations I wrote flow logically one to the next.

babyslapmafro · Answer

oh ok i see now... nvm

anonymous · Answer

hold on.

anonymous · Answer

My last equation is a little off, it should be$$\frac{ 1 }{ 8 }\int\limits_{}^{}\frac{ du }{ e ^{u} }$$

babyslapmafro · Answer

ok thanks

anonymous · Answer

uw!