What is the integral of (10)/(sqrt(x)) ?

The integral of (10)/(sqrt(x)) is 20sqrt(x)+C

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integral of (10)/(sqrt(x))

\int \frac{10}{x} d x

20 x + C

Solution steps

\int \frac{10}{x} d x

Take the constant out:

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

= 10 \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= 10 \cdot 2 x^{\frac{1}{2}}

Simplify

10 \cdot 2 x^{\frac{1}{2}} : 20 x

= 20 x

Add a constant to the solution

= 20 x + C

\int_{0}^{2} e^{x} d x

x \to 0 lim (\frac{3}{x ^{2} + x} - \frac{3}{x})

\int_{- 1}^{1} \frac{2}{1 + x ^{2}} d x

\frac{d x}{d t} = 12 - \frac{27 x}{900 - 15 t}

\int \frac{sin ( x )}{1 + sin ^{2} ( x )} d x

What is the integral of (10)/(sqrt(x)) ?
The integral of (10)/(sqrt(x)) is 20sqrt(x)+C