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Popular >

integral of 9x^{-3}

Solution

\int 9 x^{- 3} d x

Solution

- \frac{9}{2 x ^{2}} + C

Solution steps

\int 9 x^{- 3} d x

Take the constant out:

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

= 9 \cdot \int x^{- 3} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= 9 (- \frac{1}{2 x ^{2}})

Simplify

9 (- \frac{1}{2 x ^{2}}) : - \frac{9}{2 x ^{2}}

= - \frac{9}{2 x ^{2}}

Add a constant to the solution

= - \frac{9}{2 x ^{2}} + C

Popular Examples

derivative of (2x/(7x^2+1))

\frac{d}{d x} (\frac{2 x}{7 x ^{2} + 1})

y^{''}+256y=sec(16x)

y^{^{''}} + 256 y = sec (16 x)

tangent of y=12(x-1/x)^2,\at x=2 tangent of

y = 12 (x - \frac{1}{x})^{2}, at x = 2

derivative of y=4xcos(x^2)derivative of

y = 4 x cos (x^{2})

integral of (2e^{9x})

\int (2 e^{9 x}) d x

Frequently Asked Questions (FAQ)

What is the integral of 9x^{-3} ?
The integral of 9x^{-3} is -9/(2x^2)+C