What is the integral of-(27)/(x^{28)} ?

The integral of-(27)/(x^{28)} is 1/(x^{27)}+C

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integral of-(27)/(x^{28)}

\int - \frac{27}{x ^{28}} d x

\frac{1}{x ^{27}} + C

Solution steps

\int - \frac{27}{x ^{28}} d x

Take the constant out:

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

= - 27 \cdot \int \frac{1}{x ^{28}} d x

Apply the Power Rule

= - 27 (- \frac{1}{27 x ^{27}})

Simplify

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

= \frac{1}{x ^{27}}

Add a constant to the solution

= \frac{1}{x ^{27}} + C

What is the integral of-(27)/(x^{28)} ?
The integral of-(27)/(x^{28)} is 1/(x^{27)}+C