What is the integral of-(25)/(x^{26)} ?

The integral of-(25)/(x^{26)} is 1/(x^{25)}+C

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integral of-(25)/(x^{26)}

\int - \frac{25}{x ^{26}} d x

\frac{1}{x ^{25}} + C

Solution steps

\int - \frac{25}{x ^{26}} d x

Take the constant out:

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

= - 25 \cdot \int \frac{1}{x ^{26}} d x

Apply the Power Rule

: - \frac{1}{25 x ^{25}}

= - 25 (- \frac{1}{25 x ^{25}})

Simplify

- 25 (- \frac{1}{25 x ^{25}}) : \frac{1}{x ^{25}}

= \frac{1}{x ^{25}}

Add a constant to the solution

= \frac{1}{x ^{25}} + C

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What is the integral of-(25)/(x^{26)} ?
The integral of-(25)/(x^{26)} is 1/(x^{25)}+C