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Popular Calculus >

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

= 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

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Frequently Asked Questions (FAQ)

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