What is the integral of 1/(sqrt(u+2)) ?

The integral of 1/(sqrt(u+2)) is 2sqrt(u+2)+C

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integral of 1/(sqrt(u+2))

\int \frac{1}{u + 2} d u

2 u + 2 + C

Solution steps

\int \frac{1}{u + 2} d u

Apply u-substitution

= \int 2 d v

Integral of a constant:

\int a d x = a x

= 2 v

Substitute back

v = u + 2

= 2 u + 2

Add a constant to the solution

= 2 u + 2 + C

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What is the integral of 1/(sqrt(u+2)) ?
The integral of 1/(sqrt(u+2)) is 2sqrt(u+2)+C