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Mathematics 20 Online
OpenStudy (anonymous):

Evaluate the indicated integral

OpenStudy (anonymous):

OpenStudy (anonymous):

u = square root x

OpenStudy (anonymous):

u = \(\sqrt{x}\)

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

so thats it?

OpenStudy (anonymous):

\[du = \frac{ 1 }{ 2 \sqrt{x} }dx\]

OpenStudy (anonymous):

\[2 \int\limits e^udu=2e^u+C \]

OpenStudy (anonymous):

He did a u substitution. Make sure to plug in u=sqrt(x) back into the equation at the end.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

@ajmayberry so 2e(sqrtx) + C ??

OpenStudy (anonymous):

Yes, that's the solution!

OpenStudy (anonymous):

so its correct?

OpenStudy (anonymous):

Yes. It is correct if you write 2e^(sqrtx) + C.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

okay

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