What is the integral of (7/(sqrt(x))) ?

The integral of (7/(sqrt(x))) is 14sqrt(x)+C

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integral of (7/(sqrt(x)))

\int (\frac{7}{x}) d x

14 x + C

Solution steps

\int \frac{7}{x} d x

Take the constant out:

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

= 7 \cdot \int \frac{1}{x} d x

Apply the Power Rule

= 7 \cdot 2 x^{\frac{1}{2}}

Simplify

7 \cdot 2 x^{\frac{1}{2}} : 14 x

= 14 x

Add a constant to the solution

= 14 x + C

What is the integral of (7/(sqrt(x))) ?
The integral of (7/(sqrt(x))) is 14sqrt(x)+C