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Popular Calculus >

integral of (1-x^3)

Solution

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

Solution

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

Solution steps

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

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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