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Popular >

integral of (x^3-1)

Solution

\int (x^{3} - 1) d x

Solution

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

Solution steps

\int x^{3} - 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

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\frac{d}{d y} (\frac{x}{2 y ^{4}})

Frequently Asked Questions (FAQ)

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