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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

limit as x approaches infinity of-x^2

x \to \infty lim (- x^{2})

d/(dt)(1+sin(t))

\frac{d}{d t} (1 + sin (t))

integral from 1 to 4 of \sqrt[3]{x}

integral of-3/x

\int - \frac{3}{x} d x

derivative of (x+3)^2 derivative of

(x + 3)^{2}

Frequently Asked Questions (FAQ)

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