What is the integral of (-5)/(sqrt(x)) ?

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

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integral of (-5)/(sqrt(x))

\int \frac{- 5}{x} d x

- 10 x + C

Solution steps

\int \frac{- 5}{x} d x

Take the constant out:

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

= - 5 \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= - 5 \cdot 2 x^{\frac{1}{2}}

Simplify

- 5 \cdot 2 x^{\frac{1}{2}} : - 10 x

= - 10 x

Add a constant to the solution

= - 10 x + C

\int \frac{5 ln ( x ^{2} )}{x} d x

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

\int \frac{x + 2}{( x - 1 ) ^{2} ( x ^{2} + 4 )} d x

\int \frac{( x + 1 ) ^{6}}{2 x} d x

\int \frac{1}{5 x + x ( ln ( x ) ) ^{2}} d x

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