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Popular >

integral of 8/(x^6)

Solution

\int \frac{8}{x ^{6}} d x

Solution

- \frac{8}{5 x ^{5}} + C

Solution steps

\int \frac{8}{x ^{6}} d x

Take the constant out:

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

= 8 \cdot \int \frac{1}{x ^{6}} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= 8 (- \frac{1}{5 x ^{5}})

Simplify

8 (- \frac{1}{5 x ^{5}}) : - \frac{8}{5 x ^{5}}

= - \frac{8}{5 x ^{5}}

Add a constant to the solution

= - \frac{8}{5 x ^{5}} + C

Graph

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\int (1 - x) sin (nπ x) d x

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\int \frac{r}{16 - 9 r ^{4}} d r

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\int \frac{2 x}{x ^{2} + 2 x - 3} d x

integral of (x^2+3x+1)/(\sqrt[5]{x^3)}

\int \frac{x ^{2} + 3 x + 1}{5 x ^{3}} d x

integral of (10)/(x(ln(x))^2)

\int \frac{10}{x ( ln ( x ) ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 8/(x^6) ?
The integral of 8/(x^6) is -8/(5x^5)+C