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Popular >

integral of-x^{-4}

Solution

\int - x^{- 4} d x

Solution

\frac{1}{3 x ^{3}} + C

Solution steps

\int - x^{- 4} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

= \frac{1}{3 x ^{3}}

Add a constant to the solution

= \frac{1}{3 x ^{3}} + C

Popular Examples

integral of t^4

\int t^{4} d t

derivative of y=sqrt(x+1)derivative of

y = x + 1

derivative of f(x)=(x-1)*ln(x-1)derivative of

f (x) = (x - 1) \cdot ln (x - 1)

derivative of-e^{x-1}

\frac{d}{d x} (- e^{x - 1})

integral of (ln(x)-1)/(ln^2(x))

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

Frequently Asked Questions (FAQ)

What is the integral of-x^{-4} ?
The integral of-x^{-4} is 1/(3x^3)+C