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Popular >

integral of 4x^{-2}

Solution

\int 4 x^{- 2} d x

Solution

- \frac{4}{x} + C

Solution steps

\int 4 x^{- 2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int x^{- 2} d x

Apply the Power Rule

: - \frac{1}{x}

= 4 (- \frac{1}{x})

Simplify

4 (- \frac{1}{x}) : - \frac{4}{x}

= - \frac{4}{x}

Add a constant to the solution

= - \frac{4}{x} + C

Graph

Popular Examples

derivative of (2x/(1-x))

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

limit as x approaches 3 of 2x^2-3x

x \to 3 lim (2 x^{2} - 3 x)

(dy)/(dx)=2sqrt(xy)

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

derivative of ((x-1^2)/(x+2))

\frac{d}{d x} (\frac{( x - 1 ) ^{2}}{x + 2})

integral of (e^{2x}+x)

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

Frequently Asked Questions (FAQ)

What is the integral of 4x^{-2} ?
The integral of 4x^{-2} is -4/x+C