What is the integral of 4/5-1/(3sqrt(5x)) ?

The integral of 4/5-1/(3sqrt(5x)) is 4/5 x-2/(3sqrt(5))sqrt(x)+C

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integral of 4/5-1/(3sqrt(5x))

\int \frac{4}{5} - \frac{1}{3 5 x} d x

\frac{4}{5} x - \frac{2}{3 5} x + C

Solution steps

\int \frac{4}{5} - \frac{1}{3 5 x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{4}{5} d x - \int \frac{1}{3 5 x} d x

\int \frac{4}{5} d x = \frac{4}{5} x

\int \frac{1}{3 5 x} d x = \frac{2}{3 5} x

= \frac{4}{5} x - \frac{2}{3 5} x

Add a constant to the solution

= \frac{4}{5} x - \frac{2}{3 5} x + C

\int 12 θ sec^{2} (θ) d θ

x e^{- x}

\frac{d y}{d x} + 3 x^{2} y = 10 x^{2}

x y + y^{^{'}} = 4 x

x \to + 1 + lim (1 - cos (2 (x - 1)))

What is the integral of 4/5-1/(3sqrt(5x)) ?
The integral of 4/5-1/(3sqrt(5x)) is 4/5 x-2/(3sqrt(5))sqrt(x)+C