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Popular >

integral of (x^3-2)

Solution

\int (x^{3} - 2) d x

Solution

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

Solution steps

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

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

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Frequently Asked Questions (FAQ)

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