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Popular >

integral of 9x^{-2}

Solution

\int 9 x^{- 2} d x

Solution

- \frac{9}{x} + C

Solution steps

\int 9 x^{- 2} d x

Take the constant out:

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

= 9 \cdot \int x^{- 2} d x

Apply the Power Rule

: - \frac{1}{x}

= 9 (- \frac{1}{x})

Simplify

9 (- \frac{1}{x}) : - \frac{9}{x}

= - \frac{9}{x}

Add a constant to the solution

= - \frac{9}{x} + C

Popular Examples

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

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

derivative of y=xe^{ax}derivative of

y = x e^{a x}

derivative of (x^4/2-3/2 x^2-x)

\frac{d}{d x} (\frac{x ^{4}}{2} - \frac{3}{2} x^{2} - x)

limit as x approaches-2 of x^2-5

x \to - 2 lim (x^{2} - 5)

integral from 1 to infinity of x^{-4/5}

\int_{1}^{\infty} x^{- \frac{4}{5}} d x

Frequently Asked Questions (FAQ)

What is the integral of 9x^{-2} ?
The integral of 9x^{-2} is -9/x+C