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Popular >

integral of 4x^{-4}

Solution

\int 4 x^{- 4} d x

Solution

- \frac{4}{3 x ^{3}} + C

Solution steps

\int 4 x^{- 4} d x

Take the constant out:

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

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

Apply the Power Rule

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

= 4 (- \frac{1}{3 x ^{3}})

Simplify

4 (- \frac{1}{3 x ^{3}}) : - \frac{4}{3 x ^{3}}

= - \frac{4}{3 x ^{3}}

Add a constant to the solution

= - \frac{4}{3 x ^{3}} + C

Popular Examples

integral of x(7-x)^7

\int x (7 - x)^{7} d x

integral of 3x^2sqrt(x^3+5)

\int 3 x^{2} x^{3} + 5 d x

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

integral of 3x^2e^{x^3-1}

\int 3 x^{2} e^{x^{3} - 1} d x

integral of 1/(8x+7)

\int \frac{1}{8 x + 7} d x

Frequently Asked Questions (FAQ)

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