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Popular Calculus >

integral of 6/(x^5)

Solution

\int \frac{6}{x ^{5}} d x

Solution

- \frac{3}{2 x ^{4}} + C

Solution steps

\int \frac{6}{x ^{5}} d x

Take the constant out:

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

= 6 \cdot \int \frac{1}{x ^{5}} d x

Apply the Power Rule

= 6 (- \frac{1}{4 x ^{4}})

Simplify

6 (- \frac{1}{4 x ^{4}}) : - \frac{3}{2 x ^{4}}

= - \frac{3}{2 x ^{4}}

Add a constant to the solution

= - \frac{3}{2 x ^{4}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 6/(x^5) ?
The integral of 6/(x^5) is -3/(2x^4)+C