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Popular >

integral of-4/(x^3)

Solution

\int - \frac{4}{x ^{3}} d x

Solution

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

Solution steps

\int - \frac{4}{x ^{3}} d x

Take the constant out:

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

= - 4 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= - 4 (- \frac{1}{2 x ^{2}})

Simplify

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

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

Add a constant to the solution

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

Popular Examples

integral from 2 to 4 of (x+2)/(x^2+3x-4)

\int_{2}^{4} \frac{x + 2}{x ^{2} + 3 x - 4} d x

derivative of-1/(4sqrt(x^3))

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

derivative of (x^2/6-x)

\frac{d}{d x} (\frac{x ^{2}}{6} - x)

(\partial}{\partial x}(sin(\frac{3x)/y))

\frac{\partial}{\partial x} (sin (\frac{3 x}{y}))

derivative of e^{(x^2})

\frac{d}{d x} (e^{(x^{2})})

Frequently Asked Questions (FAQ)

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