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

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

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integral of-(12)/(x^{13)}

\int - \frac{12}{x ^{13}} d x

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

Solution steps

\int - \frac{12}{x ^{13}} d x

Take the constant out:

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

= - 12 \cdot \int \frac{1}{x ^{13}} d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

y = x + 3, (6, 3)

\frac{d y}{d x} = 2 e^{x - y}

\int \frac{x ^{3}}{x ^{4} - x ^{2} + 2} d x

f (x) = (3 x + 7) e^{x}

x^{2} + 10

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