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Popular >

integral of (1-2/x)

Solution

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

Solution

x - 2 ln ∣ x ∣ + C

Solution steps

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

\int 1 d x = x

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= x - 2 ln ∣ x ∣

Add a constant to the solution

= x - 2 ln ∣ x ∣ + C

Popular Examples

integral of (x^2+x)ln(x)

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

integral of sin^2((pix)/2)

\int sin^{2} (\frac{π x}{2}) d x

slope of (-3,-6),(-9,1)slope

(- 3, - 6), (- 9, 1)

(\partial)/(\partial y)((x+y)/(y-x))

\frac{\partial}{\partial y} (\frac{x + y}{y - x})

limit as n approaches 2 of (3n+2)/n

n \to 2 lim (\frac{3 n + 2}{n})

Frequently Asked Questions (FAQ)

What is the integral of (1-2/x) ?
The integral of (1-2/x) is x-2ln|x|+C