What is the integral of-(14)/(x^{15)} ?

The integral of-(14)/(x^{15)} is 1/(x^{14)}+C

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integral of-(14)/(x^{15)}

\int - \frac{14}{x ^{15}} d x

\frac{1}{x ^{14}} + C

Solution steps

\int - \frac{14}{x ^{15}} 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 ^{15}} d x

Apply the Power Rule

: - \frac{1}{14 x ^{14}}

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

Simplify

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

= \frac{1}{x ^{14}}

Add a constant to the solution

= \frac{1}{x ^{14}} + C

\int x^{n} d x

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

x \to 0 - lim (sin (\frac{1}{x}))

\frac{d}{d x} (e^{x} (3 x^{2} + 5 x - 1))

\int 1 - 2 cos (2 x) d x

What is the integral of-(14)/(x^{15)} ?
The integral of-(14)/(x^{15)} is 1/(x^{14)}+C