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Popular >

integral of-2-2/x

Solution

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

Solution

- 2 x - 2 ln ∣ x ∣ + C

Solution steps

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

\int 2 d x = 2 x

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= - 2 x - 2 ln ∣ x ∣

Add a constant to the solution

= - 2 x - 2 ln ∣ x ∣ + C

Graph

Popular Examples

(dy}{dx}=\frac{2x^2)/y

\frac{d y}{d x} = \frac{2 x ^{2}}{y}

derivative of 2x^{2/3}

\frac{d}{d x} (2 x^{\frac{2}{3}})

derivative of sqrt(2+3x)derivative of

2 + 3 x

derivative of-9sin(3x)

\frac{d}{d x} (- 9 sin (3 x))

derivative of tan(pi-9/x)

\frac{d}{d x} (tan (π - \frac{9}{x}))

Frequently Asked Questions (FAQ)

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