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Popular >

integral of-3x^{-4}

Solution

\int - 3 x^{- 4} d x

Solution

\frac{1}{x ^{3}} + C

Solution steps

\int - 3 x^{- 4} d x

Take the constant out:

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

= - 3 \cdot \int x^{- 4} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

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

Simplify

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

= \frac{1}{x ^{3}}

Add a constant to the solution

= \frac{1}{x ^{3}} + C

Popular Examples

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derivative of 2tan^3(x)derivative of

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

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

Frequently Asked Questions (FAQ)

What is the integral of-3x^{-4} ?
The integral of-3x^{-4} is 1/(x^3)+C