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Popular >

integral of-1/(3x^3)

Solution

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

Solution

\frac{1}{6 x ^{2}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

- \frac{1}{3} (- \frac{1}{2 x ^{2}}) : \frac{1}{6 x ^{2}}

= \frac{1}{6 x ^{2}}

Add a constant to the solution

= \frac{1}{6 x ^{2}} + C

Graph

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\int \frac{3}{( 1 + x ^{2} )} d x

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\int \frac{4 x ^{5}}{1 - 16 x ^{6}} d x

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\int sin (4) d x

integral of-cos(x)tan(x)

\int - cos (x) tan (x) d x

Frequently Asked Questions (FAQ)

What is the integral of-1/(3x^3) ?
The integral of-1/(3x^3) is 1/(6x^2)+C