What is the integral of (3/(x^7)) ?

The integral of (3/(x^7)) is -1/(2x^6)+C

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integral of (3/(x^7))

\int (\frac{3}{x ^{7}}) d x

- \frac{1}{2 x ^{6}} + C

Solution steps

\int \frac{3}{x ^{7}} d x

Take the constant out:

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

= 3 \cdot \int \frac{1}{x ^{7}} d x

Apply the Power Rule

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

= 3 (- \frac{1}{6 x ^{6}})

Simplify

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

= - \frac{1}{2 x ^{6}}

Add a constant to the solution

= - \frac{1}{2 x ^{6}} + C

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