How do you integrate $int e^sqrtx/sqrtxdx$ ?

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Answer 1 · 2018-05-22T12:56:51

Is an inmediate integral. See below

If we make a change of variable is more evident

Lets do $t=x^2$ then $2tdt=dx$ and integral becomes

$inte^t/cancelt·2canceltdt=2e^t=2e^sqrtx+C$

How do you integrate int e^sqrtx/sqrtxdxint e^sqrtx/sqrtxdx?