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Popular >

integral of 2/(x^8)

Solution

\int \frac{2}{x ^{8}} d x

Solution

- \frac{2}{7 x ^{7}} + C

Solution steps

\int \frac{2}{x ^{8}} d x

Take the constant out:

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

= 2 \cdot \int \frac{1}{x ^{8}} d x

Apply the Power Rule

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

= 2 (- \frac{1}{7 x ^{7}})

Simplify

2 (- \frac{1}{7 x ^{7}}) : - \frac{2}{7 x ^{7}}

= - \frac{2}{7 x ^{7}}

Add a constant to the solution

= - \frac{2}{7 x ^{7}} + C

Graph

Popular Examples

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\int e^{9 x} (9) d x

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\int \frac{1}{( x + 2 ) ^{2} + 1} d x

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\int e^{x^{6}} x^{5} d x

integral of (20)/(25-x^2)

\int \frac{20}{25 - x ^{2}} d x

integral of (2x-1/(x^2))^3

\int (2 x - \frac{1}{x ^{2}})^{3} d x

Frequently Asked Questions (FAQ)

What is the integral of 2/(x^8) ?
The integral of 2/(x^8) is -2/(7x^7)+C