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Popular Calculus >

integral of-1/(2x^3)

Solution

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

Solution

\frac{1}{4 x ^{2}} + C

Solution steps

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

Take the constant out:

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

= - \frac{1}{2} \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

Simplify

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

= \frac{1}{4 x ^{2}}

Add a constant to the solution

= \frac{1}{4 x ^{2}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-1/(2x^3) ?
The integral of-1/(2x^3) is 1/(4x^2)+C