What is the integral of (11)/(x^{10)} ?

The integral of (11)/(x^{10)} is -(11)/(9x^9)+C

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integral of (11)/(x^{10)}

\int \frac{11}{x ^{10}} d x

- \frac{11}{9 x ^{9}} + C

Solution steps

\int \frac{11}{x ^{10}} d x

Take the constant out:

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

= 11 \cdot \int \frac{1}{x ^{10}} d x

Apply the Power Rule

= 11 (- \frac{1}{9 x ^{9}})

Simplify

11 (- \frac{1}{9 x ^{9}}) : - \frac{11}{9 x ^{9}}

= - \frac{11}{9 x ^{9}}

Add a constant to the solution

= - \frac{11}{9 x ^{9}} + C

What is the integral of (11)/(x^{10)} ?
The integral of (11)/(x^{10)} is -(11)/(9x^9)+C