What is the integral of-(15)/(x^{16)} ?

The integral of-(15)/(x^{16)} is 1/(x^{15)}+C

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integral of-(15)/(x^{16)}

\int - \frac{15}{x ^{16}} d x

\frac{1}{x ^{15}} + C

Solution steps

\int - \frac{15}{x ^{16}} d x

Take the constant out:

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

= - 15 \cdot \int \frac{1}{x ^{16}} d x

Apply the Power Rule

: - \frac{1}{15 x ^{15}}

= - 15 (- \frac{1}{15 x ^{15}})

Simplify

- 15 (- \frac{1}{15 x ^{15}}) : \frac{1}{x ^{15}}

= \frac{1}{x ^{15}}

Add a constant to the solution

= \frac{1}{x ^{15}} + C

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What is the integral of-(15)/(x^{16)} ?
The integral of-(15)/(x^{16)} is 1/(x^{15)}+C