What is the integral of-(54)/(x^{15)} ?

The integral of-(54)/(x^{15)} is (27)/(7x^{14)}+C

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integral of-(54)/(x^{15)}

\int - \frac{54}{x ^{15}} d x

\frac{27}{7 x ^{14}} + C

Solution steps

\int - \frac{54}{x ^{15}} d x

Take the constant out:

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

= - 54 \cdot \int \frac{1}{x ^{15}} d x

Apply the Power Rule

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

= - 54 (- \frac{1}{14 x ^{14}})

Simplify

- 54 (- \frac{1}{14 x ^{14}}) : \frac{27}{7 x ^{14}}

= \frac{27}{7 x ^{14}}

Add a constant to the solution

= \frac{27}{7 x ^{14}} + C

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What is the integral of-(54)/(x^{15)} ?
The integral of-(54)/(x^{15)} is (27)/(7x^{14)}+C