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Popular >

integral of 8/(x^7)

Solution

\int \frac{8}{x ^{7}} d x

Solution

- \frac{4}{3 x ^{6}} + C

Solution steps

\int \frac{8}{x ^{7}} 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 ^{7}} d x

Apply the Power Rule

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

= 8 (- \frac{1}{6 x ^{6}})

Simplify

8 (- \frac{1}{6 x ^{6}}) : - \frac{4}{3 x ^{6}}

= - \frac{4}{3 x ^{6}}

Add a constant to the solution

= - \frac{4}{3 x ^{6}} + C

Popular Examples

integral of 18x^{17}

\int 18 x^{17} d x

derivative of sqrt(x+\sqrt{x+\sqrt{x)}}derivative of

x + x + x

x^{2} y^{^{'}} + x y = 1

inverse oflaplace s/((s^2-1^2)(s^2+17))inverse laplace

\frac{s}{( s ^{2} - 1 ^{2} ) ( s ^{2} + 17 )}

limit as x approaches-infinity of e^x*x

x \to - \infty lim (e^{x} \cdot x)

Frequently Asked Questions (FAQ)

What is the integral of 8/(x^7) ?
The integral of 8/(x^7) is -4/(3x^6)+C