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Popular >

integral of 7x^{-8}

Solution

\int 7 x^{- 8} d x

Solution

- \frac{1}{x ^{7}} + C

Solution steps

\int 7 x^{- 8} d x

Take the constant out:

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

= 7 \cdot \int x^{- 8} d x

Apply the Power Rule

: - \frac{1}{7 x ^{7}}

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

Simplify

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

= - \frac{1}{x ^{7}}

Add a constant to the solution

= - \frac{1}{x ^{7}} + C

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integral of cos((npix)/pi)

\int cos (\frac{nπ x}{π}) d x

Frequently Asked Questions (FAQ)

What is the integral of 7x^{-8} ?
The integral of 7x^{-8} is -1/(x^7)+C