What is the integral of (14)/(x^8) ?

The integral of (14)/(x^8) is -2/(x^7)+C

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integral of (14)/(x^8)

\int \frac{14}{x ^{8}} d x

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

Solution steps

\int \frac{14}{x ^{8}} d x

Take the constant out:

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

= 14 \cdot \int \frac{1}{x ^{8}} d x

Apply the Power Rule

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

= 14 (- \frac{1}{7 x ^{7}})

Simplify

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

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

Add a constant to the solution

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

\frac{d y}{d x} = 7 e^{x - y}

e^{(- 5 t)}

x \to 0 lim (\frac{∣ x - 0 ∣}{0 - x})

f (x) = (\frac{2}{3} x)^{3}

\int (t^{4} + 7 t) (4 t^{3} + 7) d t