What is the integral of (1/x)/(x^4) ?

The integral of (1/x)/(x^4) is -1/(4x^4)+C

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integral of (1/x)/(x^4)

\int \frac{\frac{1}{x}}{x ^{4}} d x

- \frac{1}{4 x ^{4}} + C

Solution steps

\int \frac{\frac{1}{x}}{x ^{4}} d x

Simplify

\frac{\frac{1}{x}}{x ^{4}} : \frac{1}{x ^{5}}

= \int \frac{1}{x ^{5}} d x

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= - \frac{1}{4 x ^{4}}

Add a constant to the solution

= - \frac{1}{4 x ^{4}} + C

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