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Popular Calculus >

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

= - 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

integral of (2x-3)/(x^2-3x+5)

\int \frac{2 x - 3}{x ^{2} - 3 x + 5} d x

integral of 1/(t^2+81)

\int \frac{1}{t ^{2} + 81} d t

integral of (1+cos(2x))^3

\int (1 + cos (2 x))^{3} d x

integral of (4x^2)/(x^2-1)

\int \frac{4 x ^{2}}{x ^{2} - 1} d x

integral of sin(x/6)

\int sin (\frac{x}{6}) d x

Frequently Asked Questions (FAQ)

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