How do you integrate $\frac{e^{\sqrt{z}}}{\sqrt{z}} d z$ $e^sqrt(z) /sqrt(z) dz$ ?

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Answer 1 · 2016-09-21T09:18:47

$2 e^{\sqrt{z}} + C$ $2 e^sqrt z +C$

Use $(sqrt z)'=1/2(1/sqrtz)$

Here,

$int e^sqrt z/sqrt z dz$

$=2 int e^sqrt z (sqrt z)' dz$

$=2 int e^sqrt z d(sqrt z)$

$=2 e^sqrt z+C$

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