What is the integral of (25)/(sqrt(x)) ?

The integral of (25)/(sqrt(x)) is 50sqrt(x)+C

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integral of (25)/(sqrt(x))

\int \frac{25}{x} d x

50 x + C

Solution steps

\int \frac{25}{x} d x

Take the constant out:

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

= 25 \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= 25 \cdot 2 x^{\frac{1}{2}}

Simplify

25 \cdot 2 x^{\frac{1}{2}} : 50 x

= 50 x

Add a constant to the solution

= 50 x + C

\frac{d}{d x} (\frac{x ^{2} - 5 x}{x})

\int \frac{1}{121 - x ^{2}} d x

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

7 x^{2} y^{^{''}} + 15 x y^{^{'}} + y = 0

(x^{3} - 6 x^{2} + 2 x - 2)^{^{'}}

What is the integral of (25)/(sqrt(x)) ?
The integral of (25)/(sqrt(x)) is 50sqrt(x)+C