What is the integral of (12)/(x^5) ?

The integral of (12)/(x^5) is -3/(x^4)+C

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integral of (12)/(x^5)

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

- \frac{3}{x ^{4}} + C

Solution steps

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

Apply the Power Rule

: - \frac{1}{4 x ^{4}}

= 12 (- \frac{1}{4 x ^{4}})

Simplify

12 (- \frac{1}{4 x ^{4}}) : - \frac{3}{x ^{4}}

= - \frac{3}{x ^{4}}

Add a constant to the solution

= - \frac{3}{x ^{4}} + C

n \to \infty lim (e^{3 n^{2}})

\frac{\partial}{\partial y} (17 - x^{2} - 4 y^{2})

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\int_{0}^{1} x 4 + 5 x d x