What is the integral of 5/(sqrt(t)) ?

The integral of 5/(sqrt(t)) is 10sqrt(t)+C

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integral of 5/(sqrt(t))

\int \frac{5}{t} d t

10 t + C

Solution steps

\int \frac{5}{t} d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int \frac{1}{t} d t

Apply the Power Rule

= 5 \cdot 2 t^{\frac{1}{2}}

Simplify

5 \cdot 2 t^{\frac{1}{2}} : 10 t

= 10 t

Add a constant to the solution

= 10 t + C

What is the integral of 5/(sqrt(t)) ?
The integral of 5/(sqrt(t)) is 10sqrt(t)+C