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

: 2 x^{\frac{1}{2}}

= 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

\frac{\partial}{\partial x} (e^{x + y + 8})

\int_{0}^{2 l n (7)} (5 e^{\frac{x}{2}}) d x

6 x^{2} - 5

\frac{\partial}{\partial x} (sin (5 x + 5 y))

n = 1 \sum \infty sin^{2} (n)

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