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Popular >

integral of-4x^{-5}

Solution

\int - 4 x^{- 5} d x

Solution

\frac{1}{x ^{4}} + C

Solution steps

\int - 4 x^{- 5} d x

Take the constant out:

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

= - 4 \cdot \int x^{- 5} d x

Apply the Power Rule

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

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

Simplify

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

= \frac{1}{x ^{4}}

Add a constant to the solution

= \frac{1}{x ^{4}} + C

Popular Examples

integral of 1/((x^2))

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

integral of (2x^2-x-1)(3x+4)

\int (2 x^{2} - x - 1) (3 x + 4) d x

derivative of sin^5(4x+1)

\frac{d}{d x} (sin^{5} (4 x + 1))

y^'*(x^2+2)+4x(y^2+2y+1)=0

y^{^{'}} \cdot (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0

integral of (19)/(x^3-125)

\int \frac{19}{x ^{3} - 125} d x

Frequently Asked Questions (FAQ)

What is the integral of-4x^{-5} ?
The integral of-4x^{-5} is 1/(x^4)+C