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Popular >

integral of-2x^{-4}

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= - 2 \cdot \int x^{- 4} d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Popular Examples

derivative of cos(2x^3-3x)

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

derivative of f(x)=((5^{3x^7})/(8x^2))^4 derivative of

f (x) = (\frac{5 ^{3 x^{7}}}{8 x ^{2}})^{4}

integral of (x-3)/(x^2-12x+36)

\int \frac{x - 3}{x ^{2} - 12 x + 36} d x

sum from n=1 to infinity of n/(n+3)

n = 1 \sum \infty \frac{n}{n + 3}

tangent of f(x)=(2+4x)(5-4x),\at x=1 tangent of

f (x) = (2 + 4 x) (5 - 4 x), at x = 1

Frequently Asked Questions (FAQ)

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