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Popular >

integral of 7/(x^7)

Solution

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

Solution

- \frac{7}{6 x ^{6}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

= 7 (- \frac{1}{6 x ^{6}})

Simplify

7 (- \frac{1}{6 x ^{6}}) : - \frac{7}{6 x ^{6}}

= - \frac{7}{6 x ^{6}}

Add a constant to the solution

= - \frac{7}{6 x ^{6}} + C

Graph

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\int (y + y^{2}) d y

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\int x (2 x + 3)^{5} d x

integral of sec(1/2)x

\int sec (\frac{1}{2}) x d x

Frequently Asked Questions (FAQ)

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