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Popular >

integral of 4/5-8/x

Solution

\int \frac{4}{5} - \frac{8}{x} d x

Solution

\frac{4}{5} x - 8 ln ∣ x ∣ + C

Solution steps

\int \frac{4}{5} - \frac{8}{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{8}{x} d x

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

\int \frac{8}{x} d x = 8 ln ∣ x ∣

= \frac{4}{5} x - 8 ln ∣ x ∣

Add a constant to the solution

= \frac{4}{5} x - 8 ln ∣ x ∣ + C

Popular Examples

integral of pi/(200)sin((pix)/(100))

\int \frac{π}{200} sin (\frac{π x}{100}) d x

integral of x^{1/6}

\int x^{\frac{1}{6}} d x

factor 6x^5-8x^4-9x^2 factor

6 x^{5} - 8 x^{4} - 9 x^{2}

derivative of-sin(pixpi)

\frac{d}{d x} (- sin (π x) π)

9x^2(dy)/(dx)=(dy)/(dx)+5xe^{-y}

9 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 5 x e^{- y}

Frequently Asked Questions (FAQ)

What is the integral of 4/5-8/x ?
The integral of 4/5-8/x is 4/5 x-8ln|x|+C