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Popular >

integral of-6/(x^3)

Solution

\int - \frac{6}{x ^{3}} d x

Solution

\frac{3}{x ^{2}} + C

Solution steps

\int - \frac{6}{x ^{3}} d x

Take the constant out:

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

= - 6 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= - 6 (- \frac{1}{2 x ^{2}})

Simplify

- 6 (- \frac{1}{2 x ^{2}}) : \frac{3}{x ^{2}}

= \frac{3}{x ^{2}}

Add a constant to the solution

= \frac{3}{x ^{2}} + C

Popular Examples

integral of (x^e+1/x)

\int (x^{e} + \frac{1}{x}) d x

integral of (2(t-2))/(t(t-4))

\int \frac{2 ( t - 2 )}{t ( t - 4 )} d t

integral of (4x+5)e^x

\int (4 x + 5) e^{x} d x

integral of x^2+x-x^3

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

integral of (3x-1)(3x+1)

\int (3 x - 1) (3 x + 1) d x

Frequently Asked Questions (FAQ)

What is the integral of-6/(x^3) ?
The integral of-6/(x^3) is 3/(x^2)+C