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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

Popular Examples

integral of (2x)/(sqrt(x^4-4))

\int \frac{2 x}{x ^{4} - 4} d x

integral of x/((r^2+x^2)^{3/2)}

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

integral of (x^4)/(3+x^5)

\int \frac{x ^{4}}{3 + x ^{5}} d x

integral of (x^3+5x^2-x+4)/x

\int \frac{x ^{3} + 5 x ^{2} - x + 4}{x} d x

integral of (x^3)/((x^4-5)^7)

\int \frac{x ^{3}}{( x ^{4} - 5 ) ^{7}} 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