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Popular >

integral of 3x^{-3}

Solution

\int 3 x^{- 3} d x

Solution

- \frac{3}{2 x ^{2}} + C

Solution steps

\int 3 x^{- 3} d x

Take the constant out:

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

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

Apply the Power Rule

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

= 3 (- \frac{1}{2 x ^{2}})

Simplify

3 (- \frac{1}{2 x ^{2}}) : - \frac{3}{2 x ^{2}}

= - \frac{3}{2 x ^{2}}

Add a constant to the solution

= - \frac{3}{2 x ^{2}} + C

Graph

Popular Examples

integral of ln(5x^3)

\int ln (5 x^{3}) d x

slope of (-4,3),(-2,2)slope

(- 4, 3), (- 2, 2)

integral from 1 to e of 2t^2ln(t)

\int_{1}^{e} 2 t^{2} ln (t) d t

derivative of u^3 derivative of

u^{3}

derivative of 12+4x-x^2

\frac{d}{d x} (12 + 4 x - x^{2})

Frequently Asked Questions (FAQ)

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