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Popular >

integral of-3x^{-4}

Solution

integral

- 3 x^{- 4}

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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(4 + x)^{\frac{1}{2}}

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x^{2} + 2 x + 3

integral of s/((s^2+1))integral

\frac{s}{( s ^{2} + 1 )}

integral of x^1 integral

x^{1}

Frequently Asked Questions (FAQ)

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