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Popular >

integral of 5/(x^7)

Solution

\int \frac{5}{x ^{7}} d x

Solution

- \frac{5}{6 x ^{6}} + C

Solution steps

\int \frac{5}{x ^{7}} d x

Take the constant out:

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

= 5 \cdot \int \frac{1}{x ^{7}} d x

Apply the Power Rule

: - \frac{1}{6 x ^{6}}

= 5 (- \frac{1}{6 x ^{6}})

Simplify

5 (- \frac{1}{6 x ^{6}}) : - \frac{5}{6 x ^{6}}

= - \frac{5}{6 x ^{6}}

Add a constant to the solution

= - \frac{5}{6 x ^{6}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 5/(x^7) ?
The integral of 5/(x^7) is -5/(6x^6)+C