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Popular >

integral of 6x^{-3}

Solution

\int 6 x^{- 3} d x

Solution

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

Solution steps

\int 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 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^4sqrt(1-x^2)

\int x^{4} 1 - x^{2} d x

f (x) = x^{7}

integral of (9x-27)/((x^2+2x+4)^2)

\int \frac{9 x - 27}{( x ^{2} + 2 x + 4 ) ^{2}} d x

integral from 0 to 5 of x/(x+10)

\int_{0}^{5} \frac{x}{x + 10} d x

integral of (x^2+1)x

\int (x^{2} + 1) x d x

Frequently Asked Questions (FAQ)

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