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Popular >

integral of 6x^{-4}

Solution

\int 6 x^{- 4} d x

Solution

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

Solution steps

\int 6 x^{- 4} d x

Take the constant out:

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

= 6 \cdot \int x^{- 4} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 2e^{-x}+3

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

integral of ((3x^2-sqrt(x)))/(5x)

\int \frac{( 3 x ^{2} - x )}{5 x} d x

integral of (2x^3+3)

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

integral of (x^2)/(sin(x^3))

\int \frac{x ^{2}}{sin ( x ^{3} )} d x

integral of (ln(y))/(y^3)

\int \frac{ln ( y )}{y ^{3}} d y

Frequently Asked Questions (FAQ)

What is the integral of 6x^{-4} ?
The integral of 6x^{-4} is -2/(x^3)+C