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Popular Calculus >

integral of 2x^{-4}

Solution

\int 2 x^{- 4} d x

Solution

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

Solution steps

\int 2 x^{- 4} d x

Take the constant out:

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

= 2 \cdot \int x^{- 4} d x

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2x^{-4} ?
The integral of 2x^{-4} is -2/(3x^3)+C