What is the integral of (1/(x^{13)}) ?

The integral of (1/(x^{13)}) is -1/(12x^{12)}+C

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integral of (1/(x^{13)})

\int (\frac{1}{x ^{13}}) d x

- \frac{1}{12 x ^{12}} + C

Solution steps

\int \frac{1}{x ^{13}} d x

Apply the Power Rule

: - \frac{1}{12 x ^{12}}

= - \frac{1}{12 x ^{12}}

Add a constant to the solution

= - \frac{1}{12 x ^{12}} + C

\frac{d}{d x} (x^{2} sin^{8} (x) + x cos^{- 5} (x))

- 3 (x)^{5} + 9 (x)^{3}, at x = - 1

4 x^{2}, 16 x

y^{^{'}} (x - 1) + y (x - 2) = 0

\frac{d}{d x} (x^{0.5} \cdot y^{0.5})

What is the integral of (1/(x^{13)}) ?
The integral of (1/(x^{13)}) is -1/(12x^{12)}+C