What is the integral of-7/5 x^{-12} ?

The integral of-7/5 x^{-12} is 7/(55x^{11)}+C

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integral of-7/5 x^{-12}

\int - \frac{7}{5} x^{- 12} d x

\frac{7}{55 x ^{11}} + C

Solution steps

\int - \frac{7}{5} x^{- 12} d x

Take the constant out:

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

= - \frac{7}{5} \cdot \int x^{- 12} d x

Apply the Power Rule

: - \frac{1}{11 x ^{11}}

= - \frac{7}{5} (- \frac{1}{11 x ^{11}})

Simplify

- \frac{7}{5} (- \frac{1}{11 x ^{11}}) : \frac{7}{55 x ^{11}}

= \frac{7}{55 x ^{11}}

Add a constant to the solution

= \frac{7}{55 x ^{11}} + C

\frac{d}{d x} (e^{c o s (x)} sin (x^{2} - x))

\int (3^{2} + x^{12}) d x

\frac{d}{d x} (x \cdot (ln (x))^{2})

\frac{1}{s ( s ^{2} + 4 s + 3 )}

\int 12 x^{\frac{1}{2}} d x

What is the integral of-7/5 x^{-12} ?
The integral of-7/5 x^{-12} is 7/(55x^{11)}+C